메뉴 건너뛰기




Volumn 30, Issue 24, 1997, Pages 8705-8717

On modified NLS, Kaup and NLBq equations: Differential transformations and bilinearization

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039194039     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/24/029     Document Type: Article
Times cited : (9)

References (26)
  • 1
    • 0002464716 scopus 로고
    • Direct methods in soliton theory
    • ed R K Bullough and P J Caudrey (New York: Springer)
    • Hirota R 1988 Direct methods in soliton theory Soliton ed R K Bullough and P J Caudrey (New York: Springer) p 157
    • (1988) Soliton , pp. 157
    • Hirota, R.1
  • 4
    • 21344476672 scopus 로고
    • On a direct bilinearization method: Kaup's higher-order water wave equations as a modified nonlocal Boussinesq equation
    • Lambert F, Loris I, Springael J and Willox R 1994 On a direct bilinearization method: Kaup's higher-order water wave equations as a modified nonlocal Boussinesq equation J Phys. A: Math. Gen. 27 5325
    • (1994) J Phys. A: Math. Gen. , vol.27 , pp. 5325
    • Lambert, F.1    Loris, I.2    Springael, J.3    Willox, R.4
  • 6
    • 0030525972 scopus 로고    scopus 로고
    • Soliton solutions of Wronskian form to the nonlocal Boussinesq equation
    • Loris I and Willox R 1996 Soliton solutions of Wronskian form to the nonlocal Boussinesq equation J. Phys. Soc. Japan 65 383
    • (1996) J. Phys. Soc. Japan , vol.65 , pp. 383
    • Loris, I.1    Willox, R.2
  • 7
    • 0009291187 scopus 로고    scopus 로고
    • Bilinear form and solutions of the k-constrained KP hierarchy
    • Loris I and Willox R 1997 Bilinear form and solutions of the k-constrained KP hierarchy Inverse Problems 13411
    • (1997) Inverse Problems , vol.13 , pp. 411
    • Loris, I.1    Willox, R.2
  • 8
    • 0001148419 scopus 로고
    • A higher-order water-wave equation and the method for solving it
    • Kaup D 1975 A higher-order water-wave equation and the method for solving it Prog. Theor. Phys. 54 396
    • (1975) Prog. Theor. Phys. , vol.54 , pp. 396
    • Kaup, D.1
  • 9
    • 52449146236 scopus 로고
    • An equivalent real form of the nonlinear Schrodinger equation and the permutability for Bäcklund transformations
    • Boiti M, Laddomada C and Pempinelli F 1981 An equivalent real form of the nonlinear Schrodinger equation and the permutability for Bäcklund transformations Nuovo Cimento B 62 315
    • (1981) Nuovo Cimento B , vol.62 , pp. 315
    • Boiti, M.1    Laddomada, C.2    Pempinelli, F.3
  • 10
    • 0022097430 scopus 로고
    • Classical Boussinesq equation is a reduction of the modified KP equation
    • Hirota R 1985 Classical Boussinesq equation is a reduction of the modified KP equation J. Phys. Soc. Japan 54 2409
    • (1985) J. Phys. Soc. Japan , vol.54 , pp. 2409
    • Hirota, R.1
  • 11
    • 0000994144 scopus 로고
    • Integrability of nonlinear hamiltonian systems by inverse scattering method
    • Chen H H, Lee Y C and Liu C S 1979 Integrability of nonlinear hamiltonian systems by inverse scattering method Phys. Scr. 20 490
    • (1979) Phys. Scr. , vol.20 , pp. 490
    • Chen, H.H.1    Lee, Y.C.2    Liu, C.S.3
  • 12
    • 21344495628 scopus 로고
    • The canonical symmetry for integrable systems
    • Leznov A N and Razumov A V 1994 The canonical symmetry for integrable systems J. Math. Phys. 35 1739
    • (1994) J. Math. Phys. , vol.35 , pp. 1739
    • Leznov, A.N.1    Razumov, A.V.2
  • 13
    • 0000775451 scopus 로고
    • Gauge transformations in soliton theory
    • Wadati M and Sogo K 1983 Gauge transformations in soliton theory J. Phys. Soc. Japan 52 394
    • (1983) J. Phys. Soc. Japan , vol.52 , pp. 394
    • Wadati, M.1    Sogo, K.2
  • 14
    • 0000208324 scopus 로고
    • Exact solutions to higher-order nonlinear equations through gauge transformation
    • Kundu A 1987 Exact solutions to higher-order nonlinear equations through gauge transformation Physica 25D 399
    • (1987) Physica , vol.25 D , pp. 399
    • Kundu, A.1
  • 15
    • 36149034633 scopus 로고
    • Painlevé analysis of the nonlinear Schrodinger family of equations
    • Clarkson P A and Cosgrove C M 1987 Painlevé analysis of the nonlinear Schrodinger family of equations J. Phys. A: Math. Gen. 20 2003
    • (1987) J. Phys. A: Math. Gen. , vol.20 , pp. 2003
    • Clarkson, P.A.1    Cosgrove, C.M.2
  • 17
    • 0002800178 scopus 로고
    • Extension of the module of invertible trasnformations. Classification of integrable systems
    • Mikhailov A V, Shabat A B and Yamilov R I 1988 Extension of the module of invertible trasnformations. Classification of integrable systems Commun. Math. Phys. 115 1
    • (1988) Commun. Math. Phys. , vol.115 , pp. 1
    • Mikhailov, A.V.1    Shabat, A.B.2    Yamilov, R.I.3
  • 18
    • 0006798191 scopus 로고
    • Multi-soliton solutions of a derivative nonlinear Schrödinger equation
    • Nakamura A and Chen H H 1980 Multi-soliton solutions of a derivative nonlinear Schrödinger equation J. Phys. Soc. Japan 49 813
    • (1980) J. Phys. Soc. Japan , vol.49 , pp. 813
    • Nakamura, A.1    Chen, H.H.2
  • 19
    • 21844492918 scopus 로고
    • Bilinearization of a generalized derivative nonlinear Schrödinger equation
    • Kakei S, Sasa N, and Satsuma J 1995 Bilinearization of a generalized derivative nonlinear Schrödinger equation J. Phys. Soc. Japan 64 1519
    • (1995) J. Phys. Soc. Japan , vol.64 , pp. 1519
    • Kakei, S.1    Sasa, N.2    Satsuma, J.3
  • 20
    • 0009416148 scopus 로고
    • Solutions of the classical Boussinesq equation and the spherical Boussinesq equation: The Wronskian technique
    • Hirota R 1986 Solutions of the classical Boussinesq equation and the spherical Boussinesq equation: the Wronskian technique J. Phys. Soc. Japan 55 2137
    • (1986) J. Phys. Soc. Japan , vol.55 , pp. 2137
    • Hirota, R.1
  • 21
  • 22
    • 0002961857 scopus 로고
    • Direct methods of finding exact solutions of nonlinear evolution equations
    • ed R M Miura (Berlin: Springer)
    • Hirota R 1974 Direct methods of finding exact solutions of nonlinear evolution equations Bäcklund Transformations ed R M Miura (Berlin: Springer) p 40
    • (1974) Bäcklund Transformations , pp. 40
    • Hirota, R.1
  • 23
    • 21144459129 scopus 로고
    • New reductions of the Kadomtsev-Petviashvili and two-dimensional Toda lattice hierarchies via symmetry constraints
    • Konopelchenko B and Strampp W 1992 New reductions of the Kadomtsev-Petviashvili and two-dimensional Toda lattice hierarchies via symmetry constraints J. Math. Phys. 33 3676
    • (1992) J. Math. Phys. , vol.33 , pp. 3676
    • Konopelchenko, B.1    Strampp, W.2
  • 24
    • 0040900507 scopus 로고
    • Nonlinear evolution equations generated from the Bäcklund transformations for the Boussinesq equation
    • Hirota R and Satsuma J 1977 Nonlinear evolution equations generated from the Bäcklund transformations for the Boussinesq equation Prog. Theor. Phys. 57 797
    • (1977) Prog. Theor. Phys. , vol.57 , pp. 797
    • Hirota, R.1    Satsuma, J.2
  • 25
    • 21844516440 scopus 로고
    • Gauge transformations of constrained KP flows: New integrable hierarchies
    • Kundu A, Strampp W and Oevel W 1995 Gauge transformations of constrained KP flows: new integrable hierarchies J. Math. Phys. 36 2972
    • (1995) J. Math. Phys. , vol.36 , pp. 2972
    • Kundu, A.1    Strampp, W.2    Oevel, W.3
  • 26
    • 0000794806 scopus 로고
    • Exponential polynomials
    • Bell E T 1934 Exponential polynomials Ann. Math. 35 258
    • (1934) Ann. Math. , vol.35 , pp. 258
    • Bell, E.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.