2+1维Levi孤子方程的Darboux变换Darboux Transformation of 2+1 Dimensional Levi Equation
张金顺,李华夏
摘要(Abstract):
通过对 Levi孤立子方程族的探讨 ,得出其 Darboux变换 ,并利用 Levi族构造出一个 2 +1维孤子方程 ,首次利用 Darboux变换求得 2 +1维孤立子的一些精确解 .
关键词(KeyWords): Darboux变换;2+1维孤立子方程;精确解
基金项目(Foundation): 河南省自然科学基金资助项目
作者(Author): 张金顺,李华夏
参考文献(References):
- [1] GuC H,ZhouZ X.OnDarboux transformations for soliton equations in high dimensional space-time.LettMathPhys,1994,32(1):1~10.
- [2] CaoC W,GengX G,WuY T.From the special2+1Toda lattice to theKadomtsev-Petviashvil equation.JMathPhys,1999,40:3943.
- [3] ZhouZ X.Nonlinear constraints and soliton equations of2+1 dimensional three-wave equation.JMathPhys,1998,39:986.
- [4] LiY S,MaW X,ZhangJE.Darboux transformations of classicalBoussinesq system and its new solutions.PhysLettA,2000,275:60~66.
- [5] LeviD,SymA,Rauch-WojciechowskiS.N-soliton on a vortex filament.PhysLettA,1983,94:408~411.
- [6] WuY T,ZhangJS.Quasi-periodic solution of a new2+1 dimensional coupled soliton equation.JPhysA:MathGen,2001,34:193~210.