ZHANG Jun, GUO Bo-ling, SHEN Shou-feng. Homoclinic Orbits of the Davey-Stewartson Equations[J]. Applied Mathematics and Mechanics, 2005, 26(2): 127-129.
Citation: ZHANG Jun, GUO Bo-ling, SHEN Shou-feng. Homoclinic Orbits of the Davey-Stewartson Equations[J]. Applied Mathematics and Mechanics, 2005, 26(2): 127-129.

Homoclinic Orbits of the Davey-Stewartson Equations

  • Received Date: 2003-09-22
  • Rev Recd Date: 2004-09-17
  • Publish Date: 2005-02-15
  • The homoclinic solutions problem of the Davey-Stewartson (DS) Equations were studied.By using the Hirota's bilinear method,the homoclinic orbits of the Davey-Stewartson Equations were obtained through the dependent variable transformation.The homoclinic orbits of the Davey-Stewartson Equations were discussed.
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  • [1]
    Ablowitz M J, Herbst B M, Constance Schober.On the numerical solution of the sine-Gordon equation—Ⅰ:Integrable discretizations and homoclinic manifolds[J].Journal of Computational Physics,1996,126(2):299—314. doi: 10.1006/jcph.1996.0139
    [2]
    Ablowitz M J, Clarkson P A.Soliton,Nonlinear Evolution Equations and Inverse Scattering[M].New York: Cambridge University Press, 1991.
    [3]
    Ablowitz M J, Herbst B M.On homoclinic structure and numerically induced chaos for the nonlinear Schrdinger equation[J].Society for Industrial and Applied Mathematics,1990,50(2):339—351. doi: 10.1137/0150021
    [4]
    Herbst B M, Ablowitz M J.Numerically induced chaos in the nonlinear Schrdinger equation[J].Physical Review Letters,1989,62(18):2065—2068. doi: 10.1103/PhysRevLett.62.2065
    [5]
    LI Yan-guang.Bcklund transformations and homoclinic structures for the integrable discretization of the NLS equation[J].Physics Letters A,1992,163(3):181—187. doi: 10.1016/0375-9601(92)90405-B
    [6]
    HU Xing-biao, GUO Bo-ling,TAM Hon-wah.Homoclinic orbits for the coupled Schringer-Boussinesq equation and coupled Higgs equation[J].Journal of the Physical Society of Japan,2003,72(1):189—190.
    [7]
    GUO Bo-ling,WANG Bao-xiang. The Cauchy problem for Davey-Stewartson systems[J]. Communications on Pure and Applied Mathematics, 1999,52(12):1477—1490. doi: 10.1002/(SICI)1097-0312(199912)52:12<1477::AID-CPA1>3.0.CO;2-N
    [8]
    Li Y. Bcklund-Darboux transformations and Melnikov analysis for Davey-Stewartson Ⅱ equations[J].Journal of Nonlinear Science,2000,10(1):103—131. doi: 10.1007/s003329910005
    [9]
    Cipolatti R. On the instablity of ground states for a Davey-Stewartson systems[J].Ann Inst H Poincaré Phys Théor,1993,58(1):85—104.
    [10]
    Hirota R.Direct methods in soliton theory[A].In:Bullough R K, Caudrey P J Eds.Solitons[C].Berlin: Springer, 1980, 157—176.
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