| Homoclinic orbits of the doubly periodic Davey-Stewartson equation |
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| 引用本文： | ZHANG Jun *,GUO Boling and SHEN Shoufeng .Homoclinic orbits of the doubly periodic Davey-Stewartson equation[J].自然科学进展(英文版),2004(11). |
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| 作者姓名： | ZHANG Jun * GUO Boling and SHEN Shoufeng |
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| 作者单位： | 1. Institute of Applied Physics and Computational Mathematics，Beijing 100088，China; 2. Department of Mathematics，Zhejiang University，Hangzhou 310027，China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina (GrantNo .A0 3 2 463 3 ) |
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| 摘 要： | Chaosiscloselyassociatedwithhomoclinicorbitsindeterministicnonlineardynamics.Inrecentyears ,Ablowitzetal.1～ 4 ] derivedtheanalyticalexpressionsofthehomoclinicorbitsfromthenonlinearSchr dingerequation ,thecomplexmodifiedKo rteweg deVriesequationandtheSine Gordonequa tion .InthisshortnotethehomoclinicorbitsoftheDavey StewartsonequationisobtainedbytheHirota’smethodsandtheexpressionsaregiven .Lietal.5] havestudiedthegeometricstructureofthesolutionmanifoldofthedoublyperiodicDavey Stewartson…
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