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Volumn 4, Issue 3-4, 1997, Pages 251-260

Invariance Analysis of the (2+1) Dimensional Long Dispersive Wave Equation

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EID: 0038193720     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.1997.4.3-4.1     Document Type: Article
Times cited : (6)

References (17)
  • 3
    • 36749114221 scopus 로고
    • Lie transforms, nonlinear evolution equations and Painlevé forms
    • Lakshmanan, M, and Kaliappan, P., 1983. Lie transforms, nonlinear evolution equations and Painlevé forms. J. Math. Phys., 24:795
    • (1983) J. Math. Phys. , vol.24 , pp. 795
    • Lakshmanan, M.1    Kaliappan, P.2
  • 6
    • 0000794121 scopus 로고
    • Symmetry reductions for the Kadomtsev-Petviashvili equation using a loop algebra
    • David, D., Kamran, N., Levi, D., and Winternitz, P., 1986. Symmetry reductions for the Kadomtsev-Petviashvili equation using a loop algebra. J. Math. Phys., 27:1225
    • (1986) J. Math. Phys. , vol.27 , pp. 1225
    • David, D.1    Kamran, N.2    Levi, D.3    Winternitz, P.4
  • 7
    • 0002611736 scopus 로고
    • On the infinite dimensional symmetry groups of the Davey-Stewartson equations
    • Champagne, B., and Winternitz, P., 1988. On the infinite dimensional symmetry groups of the Davey-Stewartson equations. J. Math. Phys., 29:1
    • (1988) J. Math. Phys. , vol.29 , pp. 1
    • Champagne, B.1    Winternitz, P.2
  • 8
    • 21244444769 scopus 로고    scopus 로고
    • Lie symmetries, infinite dimensional Lie algebras and similarity reductions of certain (2+1) dimensional nonlinear evolution equations
    • Lakshmanan, M., and Senthil, Velan M., 1996. Lie symmetries, infinite dimensional Lie algebras and similarity reductions of certain (2+1) dimensional nonlinear evolution equations. J. Nonlin. Math. Phys., 3:24
    • (1996) J. Nonlin. Math. Phys. , vol.3 , pp. 24
    • Lakshmanan, M.1    Senthil, V.M.2
  • 10
    • 21844489136 scopus 로고
    • Some reductions of the self-dual Yang-Mills equations to integrable systems in 2+1 dimensions
    • Chakravarthy, S., Kent, S.L., and Newman, E.I., 1995. Some reductions of the self-dual Yang-Mills equations to integrable systems in 2+1 dimensions. J. Math. Phys., 36:763
    • (1995) J. Math. Phys. , vol.36 , pp. 763
    • Chakravarthy, S.1    Kent, S.L.2    Newman, E.I.3
  • 11
    • 0002539971 scopus 로고
    • Integrable two-dimensional generalization of the sine-Gordon and sinh-Gordon equations
    • Boiti, M., Leon, J.J.P., and Pempinelli, K., 1987. Integrable two-dimensional generalization of the sine-Gordon and sinh-Gordon equations. Inv. Prob., 3:37
    • (1987) Inv. Prob. , vol.3 , pp. 37
    • Boiti, M.1    Leon, J.J.P.2    Pempinelli, K.3
  • 12
    • 36149029831 scopus 로고
    • A wave equation in 2+1: Painlevé analysis and solutions
    • Estevez, P.G., and Leble, S., 1995. A wave equation in 2+1:Painlevé analysis and solutions. Inv. Prob., 11:925
    • (1995) Inv. Prob. , vol.11 , pp. 925
    • Estevez, P.G.1    Leble, S.2
  • 13
    • 0003166937 scopus 로고
    • On the simplest integrable equation in 2+1
    • Fokas, A.S., 1994. On the simplest integrable equation in 2+1. Inv. Prob., 10:L19
    • (1994) Inv. Prob. , vol.10 , pp. L19
    • Fokas, A.S.1
  • 15
    • 33947110569 scopus 로고    scopus 로고
    • Localized coherent structures and integrability in a generalized (2+1) dimensional nonlinear Schrödinger equation
    • (to appear)
    • Radha, R., and Lakshmanan, M., 1996. Localized coherent structures and integrability in a generalized (2+1) dimensional nonlinear Schrödinger equation. Chaos, Solitons and Fractals, 7 (to appear)
    • (1996) Chaos, Solitons and Fractals , vol.7
    • Radha, R.1    Lakshmanan, M.2
  • 16
    • 33947139868 scopus 로고    scopus 로고
    • Exotic coherent structures in the (2+1) dimensional long dispersive wave equation
    • (to appear)
    • Radha, R., and Lakshmanan, M., 1996. Exotic coherent structures in the (2+1) dimensional long dispersive wave equation. J. Math. Phys., 37 (to appear)
    • (1996) J. Math. Phys. , vol.37
    • Radha, R.1    Lakshmanan, M.2
  • 17
    • 0027685141 scopus 로고    scopus 로고
    • LIE: A PC program for Lie analysis of differential equations
    • Head, A., LIE:a PC program for Lie analysis of differential equations. Comm. Phys. Commun., 77241
    • Comm. Phys. Commun. , vol.77 , pp. 241
    • Head, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.