메뉴 건너뛰기




Volumn 42, Issue 40, 2009, Pages

Algebraic construction of the Darboux matrix revisited

Author keywords

[No Author keywords available]

Indexed keywords


EID: 70449589806     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/40/404003     Document Type: Article
Times cited : (116)

References (86)
  • 1
    • 0013398078 scopus 로고
    • Classical nonlinear σ models on Grassmann manifolds of compact or noncompact type
    • Antoine J-P and Piette B 1987 Classical nonlinear σ models on Grassmann manifolds of compact or noncompact type J. Math. Phys. 28 2753-62
    • (1987) J. Math. Phys. , vol.28 , Issue.11 , pp. 2753-2762
    • Antoine, J.-P.1    Piette, B.2
  • 4
    • 0000900531 scopus 로고
    • Integration of Einstein's equations by means of the inverse scattering technique and construction of exact solutions
    • Belinsky V A and Zakharov V E 1978 Integration of Einstein's equations by means of the inverse scattering technique and construction of exact solutions Sov. Phys.-JETP 48 985-94
    • (1978) Sov. Phys.-JETP , vol.48 , pp. 985-994
    • Belinsky, V.A.1    Zakharov, V.E.2
  • 5
    • 0035943864 scopus 로고    scopus 로고
    • A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras
    • Biernacki W and Cieśliński J L 2001 A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras Phys. Lett. A 288 167-72
    • (2001) Phys. Lett. , vol.288 , Issue.3-4 , pp. 167-172
    • Biernacki, W.1    Cieśliński, J.L.2
  • 6
    • 5644223591 scopus 로고
    • Darboux transformations and canonical transformations
    • Bobenko A I 1982 Darboux transformations and canonical transformations Vestnik LGU 22 14-21 (in Russian)
    • (1982) Vestnik LGU , vol.22 , pp. 14-21
    • Bobenko, A.I.1
  • 7
    • 0003061298 scopus 로고
    • Surfaces in terms of 2 by 2 matrices. Old and new integrable cases
    • Bobenko A I 1994 Surfaces in terms of 2 by 2 matrices. Old and new integrable cases Harmonic Maps and Integrable Systems (Aspects of Mathematics vol 23) ed A P Fordy and J C Wood (Brunswick: Vieweg) pp 83-128
    • (1994) Harmonic Maps and Integrable Systems , pp. 83-128
    • Bobenko, A.I.1
  • 9
    • 0007241264 scopus 로고
    • Bäcklund transformations via gauge transformations in 2 + 1 dimensions
    • Boiti M, Konopelchenko B and Pempinelli F 1985 Bäcklund transformations via gauge transformations in 2 + 1 dimensions Inverse Problems 1 33-56
    • (1985) Inverse Problems , vol.1 , Issue.1 , pp. 33-56
    • Boiti, M.1    Konopelchenko, B.2    Pempinelli, F.3
  • 11
    • 0008442554 scopus 로고
    • Inverse scattering method with variable spectral parameter
    • Burtsev S P, Zakharov V E and Mikhailov A V 1987 Inverse scattering method with variable spectral parameter Teor. Mat. Fiz. 70 323-41 (in Russian)
    • (1987) Teor. Mat. Fiz. , vol.70 , Issue.3 , pp. 323-341
    • Burtsev, S.P.1    Zakharov, V.E.2    Mikhailov, A.V.3
  • 12
    • 18144378995 scopus 로고
    • An effective method to compute N-soliton Darboux matrix and N-soliton surfaces
    • Cieśliński J 1991 An effective method to compute N-soliton Darboux matrix and N-soliton surfaces J. Math. Phys. 32 2395-9
    • (1991) J. Math. Phys. , vol.32 , Issue.9 , pp. 2395-2399
    • Cieśliński, J.1
  • 13
    • 0010819974 scopus 로고
    • Algebraic representation of the linear problem as a method to construct the Darboux-Bäcklund transformation
    • Cieśliński J 1995 Algebraic representation of the linear problem as a method to construct the Darboux-Bäcklund transformation Chaos Solitons Fractals 5 2303-13
    • (1995) Chaos Solitons Fractals , vol.5 , Issue.12 , pp. 2303-2313
    • Cieśliński, J.1
  • 14
    • 21844502946 scopus 로고
    • An algebraic method to construct the Darboux matrix
    • Cieśliński J 1995 An algebraic method to construct the Darboux matrix J. Math. Phys. 36 5670-706
    • (1995) J. Math. Phys. , vol.36 , Issue.10 , pp. 5670-5706
    • Cieśliński, J.1
  • 15
    • 0031093075 scopus 로고    scopus 로고
    • The Darboux-Bianchi transformation for isothermic surfaces. Classical results versus the soliton approach
    • Cieśliński J 1997 The Darboux-Bianchi transformation for isothermic surfaces. Classical results versus the soliton approach Diff. Geom. Appl. 7 1-28
    • (1997) Diff. Geom. Appl. , vol.7 , Issue.1 , pp. 1-28
    • Cieśliński, J.1
  • 16
    • 0038908198 scopus 로고    scopus 로고
    • The Darboux-Bianchi-Bäcklund transformation and soliton surfaces
    • Cieśliński J 1998 The Darboux-Bianchi-Bäcklund transformation and soliton surfaces Nonlinearity and Geometry ed D Wójcik and J Cieśliński (Warsaw: Polish Scientific Publishers PWN) pp 81-107
    • (1998) Nonlinearity and Geometry , pp. 81-107
    • Cieśliński, J.1
  • 17
    • 0034692799 scopus 로고    scopus 로고
    • The Darboux-Bäcklund transformation without using a matrix representation
    • Cieśliński J L 2000 The Darboux-Bäcklund transformation without using a matrix representation J. Phys. A: Math. Gen. 33 L363-8
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.41
    • Cieśliński, J.L.1
  • 19
    • 35748967874 scopus 로고    scopus 로고
    • Pseudospherical surfaces on time scales: A geometric definition and the spectral approach
    • Cieśliński J L 2007 Pseudospherical surfaces on time scales: a geometric definition and the spectral approach J. Phys. A: Math. Theor. 40 12525-38
    • (2007) J. Phys. A: Math. Theor. , vol.40 , Issue.42 , pp. 12525-12538
    • Cieśliński, J.L.1
  • 20
    • 26844541622 scopus 로고    scopus 로고
    • A new approach to the Darboux-Bäcklund transformation versus the standard dressing method
    • Cieśliński J L and Biernacki W 2005 A new approach to the Darboux-Bäcklund transformation versus the standard dressing method J. Phys. A: Math. Gen. 38 9491-501
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.43 , pp. 9491-9501
    • Cieśliński, J.L.1    Biernacki, W.2
  • 21
    • 0344088384 scopus 로고    scopus 로고
    • Darboux covariant equations of von Neumann type and their generalizations
    • Cieśliński J L, Czachor M and Ustinov N V 2003 Darboux covariant equations of von Neumann type and their generalizations J. Math. Phys. 44 1763-80
    • (2003) J. Math. Phys. , vol.44 , Issue.4 , pp. 1763-1780
    • Cieśliński, J.L.1    Czachor, M.2    Ustinov, N.V.3
  • 23
    • 0000632780 scopus 로고
    • Sur une proposition relative aux équations linéaires
    • Darboux G 1882 Sur une proposition relative aux équations linéaires C. R. Acad. Sci. (Paris) 94 1456-9
    • (1882) C. R. Acad. Sci. (Paris) , vol.94 , pp. 1456-1459
    • Darboux, G.1
  • 25
    • 0036241917 scopus 로고    scopus 로고
    • Scattering problems for a canonical system with a pseudo-exponential potential
    • Gohberg I, Kaashoek M A and Sakhnovich A L 2002 Scattering problems for a canonical system with a pseudo-exponential potential Asymptotic Anal. 29 1-38
    • (2002) Asymptotic Anal. , vol.29 , Issue.1 , pp. 1-38
    • Gohberg, I.1    Kaashoek, M.A.2    Sakhnovich, A.L.3
  • 26
    • 0346803331 scopus 로고
    • Bäcklund transformations and Darboux transformations
    • Gu G C 1995 Bäcklund transformations and Darboux transformations Soliton Theory and Its Applications ed G C Gu (Berlin: Springer) pp 122-51
    • (1995) Soliton Theory and Its Applications , pp. 122-151
    • Gu, G.C.1
  • 28
    • 34249772928 scopus 로고
    • On Darboux transformations for soliton equations in high-dimensional spacetime
    • Gu G C and Zhou Z X 1994 On Darboux transformations for soliton equations in high-dimensional spacetime Lett. Math. Phys. 32 1-10
    • (1994) Lett. Math. Phys. , vol.32 , Issue.1 , pp. 1-10
    • Gu, G.C.1    Zhou, Z.X.2
  • 30
    • 0040444397 scopus 로고
    • Superposition of solutions to Bäcklund transformations for SU(n) principal σ-model
    • Harnad J, Saint-Aubin Y and Shnider S 1984 Superposition of solutions to Bäcklund transformations for SU(n) principal σ-model J. Math. Phys. 25 368-75
    • (1984) J. Math. Phys. , vol.25 , Issue.2 , pp. 368-375
    • Harnad, J.1    Saint-Aubin, Y.2    Shnider, S.3
  • 31
    • 0010945892 scopus 로고
    • Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces
    • Harnad J, Saint-Aubin Y and Shnider S 1984 Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces Commun. Math. Phys. 92 329-67
    • (1984) Commun. Math. Phys. , vol.92 , Issue.3 , pp. 329-367
    • Harnad, J.1    Saint-Aubin, Y.2    Shnider, S.3
  • 32
    • 0002470318 scopus 로고
    • The soliton correlation matrix and the reduction problem for integrable systems
    • Harnad J, Saint-Aubin Y and Shnider S 1984 The soliton correlation matrix and the reduction problem for integrable systems Commun. Math. Phys. 93 33-56
    • (1984) Commun. Math. Phys. , vol.93 , Issue.1 , pp. 33-56
    • Harnad, J.1    Saint-Aubin, Y.2    Shnider, S.3
  • 33
    • 36749107923 scopus 로고
    • Unification of Ernst-equation Bäcklund transformations using a modified Wahlquist-Estabrook technique
    • Harrison B K 1983 Unification of Ernst-equation Bäcklund transformations using a modified Wahlquist-Estabrook technique J. Math. Phys. 24 2178-87
    • (1983) J. Math. Phys. , vol.24 , Issue.8 , pp. 2178-2187
    • Harrison, B.K.1
  • 34
    • 18744387464 scopus 로고
    • Prolongation structures for Harry Dym type equations and Bäcklund transformations of cc-ideals
    • Hoenselaers C and Schief W K 1992 Prolongation structures for Harry Dym type equations and Bäcklund transformations of cc-ideals J. Phys. A: Math. Gen. 25 601-22
    • (1992) J. Phys. A: Math. Gen. , vol.25 , Issue.3 , pp. 601-622
    • Hoenselaers, C.1    Schief, W.K.2
  • 35
    • 0008131342 scopus 로고
    • Liouville's theorem and the inverse scattering method
    • Its A R 1984 Liouville's theorem and the inverse scattering method Zapiski Nau. Sem. LOMI 133 113-25 (in Russian)
    • (1984) Zapiski Nau. Sem. LOMI , vol.133 , pp. 113-125
    • Its, A.R.1
  • 36
    • 0010989303 scopus 로고
    • Methods of algebraic geometry in the theory of non-linear equations
    • Krichever I M 1977 Methods of algebraic geometry in the theory of non-linear equations Russ. Math. Surv. 32 185-213
    • (1977) Russ. Math. Surv. , vol.32 , Issue.6 , pp. 185-213
    • Krichever, I.M.1
  • 37
    • 0001075596 scopus 로고    scopus 로고
    • Darboux-integrable nonlinear Liouville-von Neumann equation
    • Leble S B and Czachor M 1998 Darboux-integrable nonlinear Liouville-von Neumann equation Phys. Rev. E 58 7091-100
    • (1998) Phys. Rev. , vol.58 , Issue.6 , pp. 7091-7100
    • Leble, S.B.1    Czachor, M.2
  • 38
    • 0001558283 scopus 로고
    • Deep reductions for matrix Lax system, invariant forms and elementary Darboux transforms
    • Leble S B and Ustinov N V 1993 Deep reductions for matrix Lax system, invariant forms and elementary Darboux transforms J. Phys. A: Math. Gen. 26 5007-16
    • (1993) J. Phys. A: Math. Gen. , vol.26 , Issue.19 , pp. 5007-5016
    • Leble, S.B.1    Ustinov, N.V.2
  • 39
    • 51249185755 scopus 로고
    • Extension of the Zakharov-Shabat generalized inverse method to solve differential-difference and difference-difference equations
    • Levi D, Ragnisco O and Bruschi M 1980 Extension of the Zakharov-Shabat generalized inverse method to solve differential-difference and difference-difference equations Nuovo Cimento A 58 56-66
    • (1980) Nuovo Cimento , vol.58 , Issue.1 , pp. 56-66
    • Levi, D.1    Ragnisco, O.2    Bruschi, M.3
  • 40
    • 51249181047 scopus 로고
    • Dressing method vs. classical Darboux transformation
    • Levi D, Ragnisco O and Sym A 1984 Dressing method vs. classical Darboux transformation Nuovo Cimento B 83 34-41
    • (1984) Nuovo Cimento , vol.83 , Issue.1 , pp. 34-41
    • Levi, D.1    Ragnisco, O.2    Sym, A.3
  • 41
    • 0007187232 scopus 로고
    • A hierarchy of coupled Korteweg-de Vries equations and the normalisation conditions of the Hilbert-Riemann problem
    • Levi D, Sym A and Wojciechowski S 1983 A hierarchy of coupled Korteweg-de Vries equations and the normalisation conditions of the Hilbert-Riemann problem J. Phys. A: Math. Gen. 16 2423-32
    • (1983) J. Phys. A: Math. Gen. , vol.16 , Issue.11 , pp. 2423-2432
    • Levi, D.1    Sym, A.2    Wojciechowski, S.3
  • 43
    • 0007743266 scopus 로고    scopus 로고
    • Vectorial Darboux transformations for the Kadomtsev-Petviashvili hierarchy
    • Liu Q P and Mãas M 1999 Vectorial Darboux transformations for the Kadomtsev-Petviashvili hierarchy J. Nonlinear Sci. 9 213-32
    • (1999) J. Nonlinear Sci. , vol.9 , Issue.2 , pp. 213-232
    • Liu, Q.P.1    Mãas, M.2
  • 44
    • 0040890700 scopus 로고    scopus 로고
    • Darboux transformations for the nonlinear Schrödinger equations
    • DOI 10.1088/0305-4470/29/23/029
    • Mãas M 1996 Darboux transformations for the nonlinear Schrödinger equations J. Phys. A: Math. Gen. 29 7721-37 (Pubitemid 126345128)
    • (1996) Journal of Physics A: Mathematical and General , vol.29 , Issue.23 , pp. 7721-7737
    • Manas, M.1
  • 45
    • 0007109755 scopus 로고
    • Darboux transformation and the explicit solutions of differential- difference and difference-difference evolution equations: I
    • Matveev V B 1979 Darboux transformation and the explicit solutions of differential-difference and difference-difference evolution equations: I Lett. Math. Phys. 3 217-22
    • (1979) Lett. Math. Phys. , vol.3 , Issue.3 , pp. 217-222
    • Matveev, V.B.1
  • 48
    • 51849161421 scopus 로고
    • Integrability of supersymmetric generalizations of classical chiral models in two-dimensional space-time
    • Mikhailov A V 1978 Integrability of supersymmetric generalizations of classical chiral models in two-dimensional space-time Pis. Zh. Eksp. Teor. Fiz 28 554-8 (in Russian)
    • (1978) Pis. Zh. Eksp. Teor. Fiz , vol.28 , Issue.8 , pp. 554-558
    • Mikhailov, A.V.1
  • 49
    • 4043164690 scopus 로고
    • Reductions in integrable systems. the reduction group
    • Mikhailov A V 1980 Reductions in integrable systems. The reduction group Pis. Zh. Eksp. Teor. Fiz 32 187-92 (in Russian)
    • (1980) Pis. Zh. Eksp. Teor. Fiz , vol.32 , Issue.2 , pp. 187-192
    • Mikhailov, A.V.1
  • 50
    • 36048960407 scopus 로고
    • The reduction problem and the inverse scattering method
    • Mikhailov A V 1981 The reduction problem and the inverse scattering method Physica D 3 73-117
    • (1981) Physica , vol.3 , Issue.1-2 , pp. 73-117
    • Mikhailov, A.V.1
  • 52
    • 0040621774 scopus 로고
    • General N-soliton solution of the AKNS class on arbitrary background
    • Neugebauer G and Meinel R 1984 General N-soliton solution of the AKNS class on arbitrary background Phys. Lett. A 100 467-70
    • (1984) Phys. Lett. , vol.100 , Issue.9 , pp. 467-470
    • Neugebauer, G.1    Meinel, R.2
  • 53
    • 70449581004 scopus 로고    scopus 로고
    • Soliton solutions for ABS lattice equations: I. Cauchy matrix approach
    • Nijhoff F, Atkinson J and Hietarinta J 2009 Soliton solutions for ABS lattice equations: I. Cauchy matrix approach J. Phys. A: Math. Theor. 42 404005
    • (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 404005
    • Nijhoff, F.1    Atkinson, J.2    Hietarinta, J.3
  • 54
    • 0010099340 scopus 로고
    • Darboux transformations for a two-dimensional Zakharov-Shabat/AKNS spectral problem
    • Nimmo J J C 1992 Darboux transformations for a two-dimensional Zakharov-Shabat/AKNS spectral problem Inverse Problems 8 219-43
    • (1992) Inverse Problems , vol.8 , Issue.2 , pp. 219-243
    • Nimmo, J.J.C.1
  • 55
    • 0034348932 scopus 로고    scopus 로고
    • Applications of Darboux transformations to the self-dual Yang-Mills equations
    • Nimmo J J C, Gilson C R and Ohta Y 2000 Applications of Darboux transformations to the self-dual Yang-Mills equations Theor. Math. Phys. 122 239-46
    • (2000) Theor. Math. Phys. , vol.122 , Issue.2 , pp. 239-246
    • Nimmo, J.J.C.1    Gilson, C.R.2    Ohta, Y.3
  • 58
    • 0035451983 scopus 로고    scopus 로고
    • Darboux transformation and Crum's formula for multi-component integrable equations
    • Park Q H and Shin H J 2001 Darboux transformation and Crum's formula for multi-component integrable equations Physica D 157 1-15
    • (2001) Physica , vol.157 , Issue.1-2 , pp. 1-15
    • Park, Q.H.1    Shin, H.J.2
  • 61
    • 51249179811 scopus 로고
    • Bäcklund transformations and soliton-type solutions for σ models with values in real Grassmannian spaces
    • Saint-Aubin Y 1982 Bäcklund transformations and soliton-type solutions for σ models with values in real Grassmannian spaces Lett. Math. Phys. 6 441-7
    • (1982) Lett. Math. Phys. , vol.6 , Issue.6 , pp. 441-447
    • Saint-Aubin, Y.1
  • 62
    • 0001739297 scopus 로고
    • Dressing procedure for solutions of nonlinear equations and the method of operator identities
    • Sakhnovich A L 1994 Dressing procedure for solutions of nonlinear equations and the method of operator identities Inverse Problems 10 699-710
    • (1994) Inverse Problems , vol.10 , Issue.3 , pp. 699-710
    • Sakhnovich, A.L.1
  • 63
    • 0010894051 scopus 로고    scopus 로고
    • Iterated Bäcklund-Darboux transformation and transfer matrix-function (nonisospectral case)
    • Sakhnovich A 1996 Iterated Bäcklund-Darboux transformation and transfer matrix-function (nonisospectral case) Chaos Solitons Fractals 7 1251-9
    • (1996) Chaos Solitons Fractals , vol.7 , Issue.8 , pp. 1251-1259
    • Sakhnovich, A.1
  • 64
    • 0001933684 scopus 로고
    • Factorization problems and operator identities
    • Sakhnovich L A 1986 Factorization problems and operator identities Usp. Mat. Nauk. 41 3-55
    • (1986) Usp. Mat. Nauk. , vol.41 , pp. 3-55
    • Sakhnovich, L.A.1
  • 65
    • 84871453246 scopus 로고
    • Factorization problems and operator identities
    • Sakhnovich L A 1986 Factorization problems and operator identities Russ. Math. Surv. 41 1-41
    • (1986) Russ. Math. Surv. , vol.41 , Issue.1 , pp. 1-41
    • Sakhnovich, L.A.1
  • 66
    • 33748288255 scopus 로고    scopus 로고
    • Lax pair and Darboux transformation of a noncommutative U(N) principal chiral model
    • Saleem U and Hassan M 2006 Lax pair and Darboux transformation of a noncommutative U(N) principal chiral model J. Phys. A: Math. Gen. 39 11683-96
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.37 , pp. 11683-11696
    • Saleem, U.1    Hassan, M.2
  • 67
    • 0000478723 scopus 로고
    • Gauge theory of Bäcklund transformations: II
    • Sattinger D H and Zurkowski V D 1987 Gauge theory of Bäcklund transformations: II Physica D 26 225-50
    • (1987) Physica , vol.26 , Issue.1-3 , pp. 225-250
    • Sattinger, D.H.1    Zurkowski, V.D.2
  • 68
    • 0040631842 scopus 로고    scopus 로고
    • Loewner transformations: Adjoint and binary Darboux connections
    • Schief W K and Rogers C 1998 Loewner transformations: adjoint and binary Darboux connections Stud. Appl. Math. 100 391-422
    • (1998) Stud. Appl. Math. , vol.100 , Issue.4 , pp. 391-422
    • Schief, W.K.1    Rogers, C.2
  • 69
    • 34250399675 scopus 로고
    • Inverse scattering problem for a system of differential equations
    • Shabat A B 1975 Inverse scattering problem for a system of differential equations Funk. Anal. Prilozh. 9 75-8
    • (1975) Funk. Anal. Prilozh. , vol.9 , pp. 75-78
    • Shabat, A.B.1
  • 70
    • 34250399675 scopus 로고
    • Inverse scattering problem for a system of differential equations
    • Shabat A B 1975 Inverse scattering problem for a system of differential equations Func. Anal. Appl. 9 244-7
    • (1975) Func. Anal. Appl. , vol.9 , Issue.3 , pp. 244-247
    • Shabat, A.B.1
  • 71
    • 52349092229 scopus 로고    scopus 로고
    • Darboux invariants of integrable equations with variable spectral parameters
    • Shin H J 2008 Darboux invariants of integrable equations with variable spectral parameters J. Phys. A: Math. Theor. 41 285201
    • (2008) J. Phys. A: Math. Theor. , vol.41 , Issue.28 , pp. 285201
    • Shin, H.J.1
  • 72
    • 0031485017 scopus 로고    scopus 로고
    • Vandermonde-like determinants and N-fold Darboux/Bäcklund transformations
    • Steudel H, Meinel R and Neugebauer G 1997 Vandermonde-like determinants and N-fold Darboux/Bäcklund transformations J. Math. Phys. 38 4692-5
    • (1997) J. Math. Phys. , vol.38 , Issue.9 , pp. 4692-4695
    • Steudel, H.1    Meinel, R.2    Neugebauer, G.3
  • 73
    • 51249186001 scopus 로고
    • Soliton surfaces
    • Sym A 1982 Soliton surfaces Lett. Nuovo Cimento 33 394-400
    • (1982) Lett. Nuovo Cimento , vol.33 , Issue.12 , pp. 394-400
    • Sym, A.1
  • 74
    • 51249182914 scopus 로고
    • Soliton surfaces: II. Geometric unification of solvable nonlinearities
    • Sym A 1983 Soliton surfaces: II. Geometric unification of solvable nonlinearities Lett. Nuovo Cimento 36 307-12
    • (1983) Lett. Nuovo Cimento , vol.36 , Issue.10 , pp. 307-312
    • Sym, A.1
  • 75
    • 51249179926 scopus 로고
    • Soliton surfaces: VI. Gauge invariance and final formulation of the approach
    • Sym A 1984 Soliton surfaces: VI. Gauge invariance and final formulation of the approach Lett. Nuovo Cimento 41 353-60
    • (1984) Lett. Nuovo Cimento , vol.41 , Issue.11 , pp. 353-360
    • Sym, A.1
  • 76
    • 0000315041 scopus 로고
    • Soliton surfaces and their application. Soliton geometry from spectral problems
    • Sym A 1985 Soliton surfaces and their application. Soliton geometry from spectral problems Geometric Aspects of the Einstein Equations and Integrable Systems (Lecture Notes in Physics vol 239) ed R Martini (Berlin: Springer) pp 154-231
    • (1985) Geometric Aspects of the Einstein Equations and Integrable Systems , vol.239 , pp. 154-231
    • Sym, A.1
  • 77
    • 0031065010 scopus 로고    scopus 로고
    • Soliton equations and differential geometry
    • Terng C L 1997 Soliton equations and differential geometry J. Diff. Geom. 45 407-45
    • (1997) J. Diff. Geom. , vol.45 , pp. 407-445
    • Terng, C.L.1
  • 78
    • 0034582975 scopus 로고    scopus 로고
    • Bäcklund transformations and loop group actions
    • Terng C L and Uhlenbeck K 2000 Bäcklund transformations and loop group actions Commun. Pure Appl. Math. 53 1-75
    • (2000) Commun. Pure Appl. Math. , vol.53 , Issue.1 , pp. 1-75
    • Terng, C.L.1    Uhlenbeck, K.2
  • 79
    • 84972545531 scopus 로고
    • Harmonic maps into Lie group: Classical solutions of the chiral model
    • Uhlenbeck K 1989 Harmonic maps into Lie group: classical solutions of the chiral model J. Diff. Geom. 30 1-50
    • (1989) J. Diff. Geom. , vol.30 , pp. 1-50
    • Uhlenbeck, K.1
  • 80
    • 0032326113 scopus 로고    scopus 로고
    • The reduced self-dual Yang-Mills equation, binary and infinitesimal Darboux transformations
    • Ustinov N V 1998 The reduced self-dual Yang-Mills equation, binary and infinitesimal Darboux transformations J. Math. Phys. 39 976-85
    • (1998) J. Math. Phys. , vol.39 , Issue.2 , pp. 976-985
    • Ustinov, N.V.1
  • 81
    • 0002983694 scopus 로고
    • Relativistically invariant systems integrable by the inverse scattering method
    • Zakharov V E and Mikhailov A V 1978 Relativistically invariant systems integrable by the inverse scattering method Zh. Eksp. Teor. Fiz. 74 1953-73 (in Russian)
    • (1978) Zh. Eksp. Teor. Fiz. , vol.74 , Issue.6 , pp. 1953-1973
    • Zakharov, V.E.1    Mikhailov, A.V.2
  • 82
    • 0040340516 scopus 로고
    • On the integrability of classical spinor models in two-dimensional space-time
    • Zakharov V E and Mikhailov A V 1980 On the integrability of classical spinor models in two-dimensional space-time Commun. Math. Phys. 74 21-40
    • (1980) Commun. Math. Phys. , vol.74 , Issue.1 , pp. 21-40
    • Zakharov, V.E.1    Mikhailov, A.V.2
  • 83
    • 0001960602 scopus 로고
    • Integration of nonlinear equations of mathematical physics by the inverse scattering method: I
    • Zakharov V E and Shabat A B 1974 Integration of nonlinear equations of mathematical physics by the inverse scattering method: I Funk. Anal. Pril. 8 43-53 (in Russian)
    • (1974) Funk. Anal. Pril. , vol.8 , pp. 43-53
    • Zakharov, V.E.1    Shabat, A.B.2
  • 84
    • 0002439927 scopus 로고
    • Integration of nonlinear equations of mathematical physics by the inverse scattering method: II
    • Zakharov V E and Shabat A B 1979 Integration of nonlinear equations of mathematical physics by the inverse scattering method: II Funk. Anal. Pril. 13 13-22 (in Russian)
    • (1979) Funk. Anal. Pril. , vol.13 , pp. 13-22
    • Zakharov, V.E.1    Shabat, A.B.2
  • 85
    • 0035633743 scopus 로고    scopus 로고
    • Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
    • Zeng Y B, Ma W X and Shao Y J 2001 Two binary Darboux transformations for the KdV hierarchy with self-consistent sources J. Math. Phys. 42 2113-28
    • (2001) J. Math. Phys. , vol.42 , Issue.5 , pp. 2113-2128
    • Zeng, Y.B.1    Ma, W.X.2    Shao, Y.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.