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. |
[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 Schrdinger 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 Schrdinger equation[J].Physical Review Letters,1989,62(18):2065—2068. doi: 10.1103/PhysRevLett.62.2065
|
[5] |
LI Yan-guang.Bcklund 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 Schringer-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. Bcklund-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.
|