期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Ginzburg-Landau方程的周期波解与孤子解 被引量：4

Periodic Wave and Soliton Solutions of the Ginzburg-Landau Equation
下载PDF
导出
摘要 通过辅助函数方法,研究并获得了Ginzburg-Landau方程在方程系数满足一定关系的条件下的新的精确解——周期波解与孤子解. By means of the auxiliary function metod and F-expansion method, we study the solutions of the Ginzburg-Landau equation. A new exact solution of the Ginzburg-Landau equation is obtained, which are period- ic wave solutions and soliton solutions, provided that the coefficients on the equation areconstrained by certain relations.
作者 李自田
机构地区 曲靖师范学院数学与信息科学学院
出处 《曲靖师范学院学报》 2008年第6期30-33,共4页 Journal of Qujing Normal University
关键词 Ginzburg-Lanndau方程 辅助函数法 Jacobi-椭圆函数 周期波 孤子 Ginzburg-Landau equation auxiliary-function F-expansion funtions Jacobi elliptic-function periodic wave soliton
分类号 O175.23 [理学—基础数学]
  • 相关文献

参考文献10

  • 1Roger Temam.Infinte-Dimensional Dynamical Systems inMechanics and Physics[]..2000
  • 2Fang Fang,Yan Xiao.Stability of chirped bright and darksoliton-like solutions of the cubic complex Ginzburg-Landauequation with variable coefficients[].Optics Communica-tions.2006
  • 3Abdul-Majid.Wazwaz.Explicit and implicit solutions for theone-dimensional cubic and quintic complex G-L.equation[].Applied Mathematics Letters.2006
  • 4MJ.Ablowitz,PA.Clarkson.Solitons,Nonlinear EvolutionEquations and Inverse Scattering Transform[]..1990
  • 5W van Saarloos,P C Hohenberg.Spatiotemporal chaos inthe one-dimensional complexGinzburg-Landauequation[].PhysicaD:Nonlinear phenomena.1992
  • 6Zhengde Dai et al.Exact homoclinic wave and soliton so-lutions for the 2D Ginzburg-Landau equation[].PhysicsLetters A.2008
  • 7Huiqun Zhang.New exact travelling wave solutions forsome nonlinear evolution equations,Part II[].Chaos Solitons Fractals.2008
  • 8F. Cariello and M. Tabor.Painlevé expansions for nonintegrable evolution equations[].Physica D Nonlinear Phenomena.1989
  • 9Blennerhassett,P. J.On the generation of waves of wind[].Philos Trans Roy Soc Lond Ser A.1980
  • 10Moon,H. T.,Huerre,P.,Redekopp,L. G.Three frequency motion and chaos in the Ginzburg-Landau equation[].Physical Review Letters.1982

同被引文献46

  • 1李向正,张金良,王明亮.Ginzburg-Landau方程的一种解法[J].河南科技大学学报（自然科学版）,2004,25(6):78-81. 被引量：11
  • 2周钰谦,张健,刘倩.耦合Klein-Gordon-Schrdinger方程显示解的统一构造[J].四川师范大学学报（自然科学版）,2006,29(2):166-170. 被引量：6
  • 3蒋毅,蒲志林,孟宪良.三维空间中Klein-Gordon-Zakharov方程的精确解[J].四川师范大学学报（自然科学版）,2007,30(3):262-265. 被引量：6
  • 4夏莉.(2+1)维BBM方程的精确解[J].西南师范大学学报（自然科学版）,2007,32(3):40-42. 被引量：5
  • 5Cariello F,Tabor M.Painlev'e expansions for non-integrable evolution equations[J].Physica,1989,D39(1):77 -94.
  • 6Roger T.Infinte-Dimensional Dynamical Systems in Mechanics and Physics[M].2nd Ed.Berlin:Springer-Verlag,1990.
  • 7Blennerhassett P J.On the generation of waves by wind[J].Philos Trans Roy Soc London,1980,A298:451 -494.
  • 8Moon H T,Huerre P,Redekopp L G.Three frequency motion and chaos in Ginzburg-Landau equations[J].Phys Rev Lett,1982,49(7):485 -460.
  • 9Sakaguchi H,Malomed B A.Stable localized pulses and zigzag strips in a two dimensional diffractive -diffusive Ginzburg-Landau equation[J].Physica,2001,D159(1/2):91-100.
  • 10Fang F,Yan X.Stability of chirped bright and dark soliton-like solutions of the cubic complex Ginzburg-Landau equation with variable coefficients[J].Optics Communications,2006,268 (2):305-310.

引证文献4

二级引证文献4

曲靖师范学院学报
2008年 第6期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部