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Volumn 8, Issue 1, 1997, Pages 17-25

Localized coherent structures and integrability in a generalized (2 + 1)-dimensional nonlinear Schrödinger equation

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EID: 0001857715     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(96)00090-2     Document Type: Article
Times cited : (53)

References (22)
  • 1
    • 0003166937 scopus 로고
    • On the simplest integrable equation in 2 + 1
    • A. S. Fokas, On the simplest integrable equation in 2 + 1. Inverse Problems 10, L19 (1994).
    • (1994) Inverse Problems , vol.10
    • Fokas, A.S.1
  • 2
    • 0001135388 scopus 로고
    • On the spectral transform of a Korteweg-deVries equation in two spatial dimensions
    • M. Boiti, J. J. P. Leon, M. Manna and F. Pempinelli, On the spectral transform of a Korteweg-deVries equation in two spatial dimensions. Inverse Problems 2, 271 (1986).
    • (1986) Inverse Problems , vol.2 , pp. 271
    • Boiti, M.1    Leon, J.J.P.2    Manna, M.3    Pempinelli, F.4
  • 4
    • 4244193388 scopus 로고
    • Dromions and a boundary value problem for the Davey-Stewartson I equation
    • A. S. Fokas and P. M. Santini, Dromions and a boundary value problem for the Davey-Stewartson I equation. Physica D 44, 99 (1990).
    • (1990) Physica D , vol.44 , pp. 99
    • Fokas, A.S.1    Santini, P.M.2
  • 6
    • 3343018601 scopus 로고
    • Singularity structure analysis and Hirota's bilinearization of the Davey-Stewartson equation
    • S. Ganesan and M. Lakshmanan, Singularity structure analysis and Hirota's bilinearization of the Davey-Stewartson equation. J. Phys. A 20, L1143 (1987).
    • (1987) J. Phys. A , vol.20
    • Ganesan, S.1    Lakshmanan, M.2
  • 7
    • 0012574034 scopus 로고
    • On the Painlevé property of nonlinear field equations in (2 + 1) dimensions; the Davey-Stewartson equation
    • R. A. Leo, G. Mancarella, G. Soliani and L. Solombrino, On the Painlevé property of nonlinear field equations in (2 + 1) dimensions; The Davey-Stewartson equation. J. Math. Phys. 29, 2666 (1988).
    • (1988) J. Math. Phys. , vol.29 , pp. 2666
    • Leo, R.A.1    Mancarella, G.2    Soliani, G.3    Solombrino, L.4
  • 8
    • 0001015917 scopus 로고
    • A direct method for dromion solutions of the Davey-Stewartson equations and their asymptotic properties
    • C. R. Gilson and J. J. C. Nimmo, A direct method for dromion solutions of the Davey-Stewartson equations and their asymptotic properties. Proc. Roy. Soc. A 435, 339 (1991).
    • (1991) Proc. Roy. Soc. A , vol.435 , pp. 339
    • Gilson, C.R.1    Nimmo, J.J.C.2
  • 10
    • 36149029300 scopus 로고
    • First and second order evolution equations from an inverse spectral problem
    • M. Boiti, F. Pempinelli and P. C. Sabatier, First and second order evolution equations from an inverse spectral problem. Inverse Problems 9, 1 (1993).
    • (1993) Inverse Problems , vol.9 , pp. 1
    • Boiti, M.1    Pempinelli, F.2    Sabatier, P.C.3
  • 11
    • 0041014469 scopus 로고
    • Spectral transform for nonlinear evolutions in AT-dimensional spaces
    • P. C. Sabatier, Spectral transform for nonlinear evolutions in AT-dimensional spaces. Inverse Problems 8, 263 (1992).
    • (1992) Inverse Problems , vol.8 , pp. 263
    • Sabatier, P.C.1
  • 16
    • 0001820561 scopus 로고
    • Wave solutions of a (2 + 1) dimensional generalization of the nonlinear Schrödinger (NLS) equation
    • I. A. B. Strachan, Wave solutions of a (2 + 1) dimensional generalization of the nonlinear Schrödinger (NLS) equation. Inverse Problems 8, L21 (1992).
    • (1992) Inverse Problems , vol.8
    • Strachan, I.A.B.1
  • 17
    • 0008980172 scopus 로고
    • Singularity structure analysis and bilinear form of a (2 + 1) dimensional nonlinear Schrödinger (NLS) equation
    • R. Radha and M. Lakshmanan, Singularity structure analysis and bilinear form of a (2 + 1) dimensional nonlinear Schrödinger (NLS) equation. Inv. Problems 10, L29 (1994).
    • (1994) Inv. Problems , vol.10
    • Radha, R.1    Lakshmanan, M.2
  • 18
    • 36749112076 scopus 로고
    • The Painlevé property for partial differential equations
    • J. Weiss, M. Tabor and G. Carnevale, The Painlevé property for partial differential equations. J. Math. Phys. 24, 522 (1983).
    • (1983) J. Math. Phys. , vol.24 , pp. 522
    • Weiss, J.1    Tabor, M.2    Carnevale, G.3
  • 19
    • 21844518783 scopus 로고
    • Singularity analysis and localized coherent structures in (2 + 1) dimensional Korteweg-deVries equations
    • R. Radha and M. Lakshmanan, Singularity analysis and localized coherent structures in (2 + 1) dimensional Korteweg-deVries equations. J. Math. Phys. 35, 4746 (1994).
    • (1994) J. Math. Phys. , vol.35 , pp. 4746
    • Radha, R.1    Lakshmanan, M.2
  • 20
    • 0001639644 scopus 로고
    • Singularity structure analysis of the continuum Heisenberg spin chain with anisotropy and transverse field: Nonintegrability and chaos
    • M. Daniel, M. D. Krushkal, M. Lakshmanan and K. Nakamura, Singularity structure analysis of the continuum Heisenberg spin chain with anisotropy and transverse field: Nonintegrability and chaos. J. Math. Phys. 33, 771 (1992).
    • (1992) J. Math. Phys. , vol.33 , pp. 771
    • Daniel, M.1    Krushkal, M.D.2    Lakshmanan, M.3    Nakamura, K.4
  • 21
    • 44949290294 scopus 로고
    • One-dromion solutions for generic classes of equations
    • J. Hietarinta, One-dromion solutions for generic classes of equations. Phys. Lett. A 149, 113 (1990).
    • (1990) Phys. Lett. A , vol.149 , pp. 113
    • Hietarinta, J.1
  • 22
    • 0041838432 scopus 로고
    • Exotic coherent structures in the Davey-Stewartson equation
    • L. Alonso and E. Reus, Exotic coherent structures in the Davey-Stewartson equation. Inverse Problems 8, 321 (1992).
    • (1992) Inverse Problems , vol.8 , pp. 321
    • Alonso, L.1    Reus, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.