메뉴 건너뛰기




Volumn 16, Issue 1, 2000, Pages 259-274

On integrable coupled KdV-type systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001292378     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/16/1/319     Document Type: Article
Times cited : (31)

References (22)
  • 1
    • 45949112965 scopus 로고
    • Coupled KdV equations with multi-Hamiltonian structure
    • Antonowicz M and Fordy A 1987 Coupled KdV equations with multi-Hamiltonian structure Physica D 28 345-57
    • (1987) Physica D , vol.28 , pp. 345-357
    • Antonowicz, M.1    Fordy, A.2
  • 3
    • 0001279175 scopus 로고    scopus 로고
    • One symmetry does not imply integrability
    • Beukers F, Sanders J A and Wang J P 1998 One symmetry does not imply integrability J. Diff. Eqns 146 251-60
    • (1998) J. Diff. Eqns , vol.146 , pp. 251-260
    • Beukers, F.1    Sanders, J.A.2    Wang, J.P.3
  • 5
    • 0023542072 scopus 로고
    • Symmetries and integrability
    • Fokas A S 1987 Symmetries and integrability Stud. Appl. Math. 77 253-99
    • (1987) Stud. Appl. Math. , vol.77 , pp. 253-299
    • Fokas, A.S.1
  • 6
    • 0034679391 scopus 로고    scopus 로고
    • On integrable coupled Burgers-type equations
    • submitted
    • Foursov M V 2000 On integrable coupled Burgers-type equations Phys. Lett. A submitted Foursov M V 2000 Classification of certain integrable coupled potential KdV and modified KdV-type equations J. Math. Phys. submitted
    • (2000) Phys. Lett. A
    • Foursov, M.V.1
  • 7
    • 0034345883 scopus 로고    scopus 로고
    • Classification of certain integrable coupled potential KdV and modified KdV-type equations
    • submitted
    • Foursov M V 2000 On integrable coupled Burgers-type equations Phys. Lett. A submitted Foursov M V 2000 Classification of certain integrable coupled potential KdV and modified KdV-type equations J. Math. Phys. submitted
    • (2000) J. Math. Phys.
    • Foursov, M.V.1
  • 8
    • 18944408338 scopus 로고
    • Soliton solutions of a coupled Korteweg-de Vries equation
    • Hirota R and Satsuma J 1981 Soliton solutions of a coupled Korteweg-de Vries equation Phys. Lett. A 85 407-8
    • (1981) Phys. Lett. A , vol.85 , pp. 407-408
    • Hirota, R.1    Satsuma, J.2
  • 9
    • 0001732956 scopus 로고
    • Symmetries and conservation laws of a coupled nonlinear wave equation
    • Ito M 1982 Symmetries and conservation laws of a coupled nonlinear wave equation Phys. Lett. A 91 335-8
    • (1982) Phys. Lett. A , vol.91 , pp. 335-338
    • Ito, M.1
  • 11
    • 0032544283 scopus 로고    scopus 로고
    • A class of coupled KdV systems and their biHamiltonian formulation
    • Ma W-X 1998 A class of coupled KdV systems and their biHamiltonian formulation J. Phys. A: Math. Gen. 31 7585-91
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 7585-7591
    • Ma, W.-X.1
  • 12
    • 36749117832 scopus 로고
    • A simple model of the integrable Hamiltonian equation
    • Magri F 1978 A simple model of the integrable Hamiltonian equation J. Math. Phys. 19 1156-62
    • (1978) J. Math. Phys. , vol.19 , pp. 1156-1162
    • Magri, F.1
  • 13
    • 0002318306 scopus 로고
    • The symmetry approach to classification of integrable equations
    • ed V E Zakharov (New York: Springer)
    • Mikhailov A V, Shabat A B and Sokolov V V 1990 The symmetry approach to classification of integrable equations What is Integrability? ed V E Zakharov (New York: Springer) pp 115-84
    • (1990) What Is Integrability? , pp. 115-184
    • Mikhailov, A.V.1    Shabat, A.B.2    Sokolov, V.V.3
  • 15
    • 0032478456 scopus 로고    scopus 로고
    • Integrable evolution equations on associative algebras
    • Olver P J and Sokolov V V 1998 Integrable evolution equations on associative algebras Commun. Math. Phys. 193 245-68
    • (1998) Commun. Math. Phys. , vol.193 , pp. 245-268
    • Olver, P.J.1    Sokolov, V.V.2
  • 16
    • 0001445382 scopus 로고    scopus 로고
    • On the integrability of homogeneous scalar evolution equations
    • Sanders J A and Wang J P 1998 On the integrability of homogeneous scalar evolution equations J. Diff. Eqns 147 410-34
    • (1998) J. Diff. Eqns , vol.147 , pp. 410-434
    • Sanders, J.A.1    Wang, J.P.2
  • 17
    • 0001395372 scopus 로고
    • A method for finding N-soliton solution of the KdV equation and KdV-like equations
    • Sawada K and Kotera T 1974 A method for finding N-soliton solution of the KdV equation and KdV-like equations Prog. Theor. Phys. 51 1355-67
    • (1974) Prog. Theor. Phys. , vol.51 , pp. 1355-1367
    • Sawada, K.1    Kotera, T.2
  • 18
    • 0001514810 scopus 로고
    • Vector-matrix generalizations of classical integrable equations
    • Sokolov V V and Svinolupov S I 1994 Vector-matrix generalizations of classical integrable equations Theor. Math. Phys. 100 959-62
    • (1994) Theor. Math. Phys. , vol.100 , pp. 959-962
    • Sokolov, V.V.1    Svinolupov, S.I.2
  • 19
    • 4043161730 scopus 로고
    • Jordan algebras and generalized KdV equations
    • Svinolupov S I 1991 Jordan algebras and generalized KdV equations Theor. Math. Phys. 87 611-20
    • (1991) Theor. Math. Phys. , vol.87 , pp. 611-620
    • Svinolupov, S.I.1
  • 20
    • 0040440025 scopus 로고
    • Jordan algebras and integrable systems
    • Svinolupov S I 1993 Jordan algebras and integrable systems Func. Anal. Appl. 27 257-65
    • (1993) Func. Anal. Appl. , vol.27 , pp. 257-265
    • Svinolupov, S.I.1
  • 22
    • 0012581950 scopus 로고
    • Computer classification of the integrable coupled KdV-like systems with unit main matrix
    • Zharkov A Y 1993 Computer classification of the integrable coupled KdV-like systems with unit main matrix J. Symb. Comput. 15 85-90
    • (1993) J. Symb. Comput. , vol.15 , pp. 85-90
    • Zharkov, A.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.