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导数非线性Schrdinger方程与Ginzburg-Landau方程的同宿轨道(英文) 被引量：1

Homoclinic orbits for the derivative nonlinear Schrding and the Ginzburg-Landau equation
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摘要 偏微分方程中与混沌行为密切联系的同宿轨道已被广泛研究,文章用孤子理论中的Darboux变换和Hirota双线性型两种不同方法,分别获得了导数非线性Schr dinger方程和Ginzburg-Landauyau方程同宿轨的解析式. In recent years there have been existence studies on the extensive of homoclinic orbits for nearly dissipative PDEs, which are closely related to chaos. In this article, analytic expressions of homoclinic orbits for the derivative nonlinear Schroding equation and the Ginzburg-Landau equation have been obtained by using Darboux transformations and Hirota＇ s method respectively.
作者 高平
机构地区 广州大学数学与信息科学学院
出处 《广州大学学报（自然科学版）》 CAS 2007年第1期1-4,共4页 Journal of Guangzhou University:Natural Science Edition
基金 国家自然科学基金项目(10471046) 广东省自然科学基金项目(04300099)~~
关键词 同宿轨道 DARBOUX变换 Hirota线性型 homoclinic orbits Darboux transformations Hirotas method
分类号 O175 [理学—基础数学]
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参考文献22

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同被引文献20

  • 1张一方.某些非线性方程的双解:孤子和混沌及其意义[J].云南大学学报（自然科学版）,2004,26(4):338-341. 被引量：15
  • 2钱天虹,刘中飞,韩家骅.具有5次强非线性项波方程的精确解[J].安徽大学学报（自然科学版）,2004,28(6):37-41. 被引量：4
  • 3张金良,李向正,王明亮.两个非线性耦合方程组的复tanh函数解[J].工程数学学报,2005,22(4):725-728. 被引量：8
  • 4郑斌.2+1维非线性Schrdinger方程的显式解[J].重庆师范大学学报（自然科学版）,2006,23(2):23-25. 被引量：7
  • 5Fu H M,Dai Z D.Exact chirped solitary-wave solution for Ginzburg-Landau equation[J].Communication in Nonlinear Science and Nmnerical Simulation,2010,15(6):1462-1465.
  • 6Liu C F,Dai Z D.Exact periodic solitary wave solution for the(2+1)-dimensional Boussinesq equation[J].J Math Anal Appl,2010,367(2):444-450.
  • 7Dai Z D,Lin S Q,Fu H M.Exact three-wave solution for the KP equation[J].Appl Math Comput,2010,216(5):1599-1604.
  • 8He J H,Wu X H.The exp-function method for nonlinear wave equation[J].Chaos Solitons Frac,2006,30:700-708.
  • 9Dai Z D,Liuj,Zeng X P.Periodic kink-wave and kinky periodic-wave solution for the Jimbo-Miwa equation[J].Phys Lett,2008,A372:5984-5986.
  • 10Fu H M,Dai Z D.The double exp-function method and its applications[J].Int J Nonl Sci Num,2009,10:927-933.

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广州大学学报（自然科学版）
2007年 第1期

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