(2+1)维非线性Schrdinger型方程的同宿轨道  

Homoclinic Orbits for Some (2+1)-Dimensional Nonlinear Schrdinger-Like Equations

作　　者：沈守枫[1] 张隽[1] 

机构地区：[1]浙江工业大学应用数学系,杭州310023

出　　处：《应用数学和力学》2008年第10期1254-1260,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10501040)

摘　　要：研究了几类(2+1)维非线性Schrdinger型方程同宿轨道的问题.利用Hirota双线性算子方法,通过给出的相关变换,得到了包括(2+1)维的长短波相互作用方程,广义Zakharov方程,Mel’nikov方程和g-Schrdinger方程的同宿轨道解的显式解析表达式,从而讨论了这些方程的同宿轨道.Chaos is closely associated with homoclinic orbits in deterministic nonlinear dynamics. Analytic expressions of homoclinic orbits for some （2 ＋ 1 ）-dimensional nonlinear Schroedinger-like equations, which include the long wave-short wave resonance interaction equation, generalization of the Zakharov equation, Mel＇ nikov equation and g-Schroedinger equation, are constructed based on Hirota＇ s bilinear method.

关 键 词：非线性Schroedinger型方程 同宿轨道 HIROTA双线性方法 

分 类 号：O175[理学—数学]