变系数(2+1)维非线性色散长波方程新的类孤子解和局域相干结构  

New Soliton-like Solutions and Localized Coherent Structures to the(2+1)-dimensional Dispersive Long Wave Equations with Variable Coefficients

作　　者：卢殿臣[1] 杨广娟[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《应用数学》2007年第4期777-782,共6页Mathematica Applicata

基　　金：国家自然科学基金资助项目(10420130638)

摘　　要：本文通过构造两个新的Riccati方程组,应用齐次平衡原则和分离变量法的思想,借助Mathematica软件,得到了变系数(2+1)维非线性色散长波方程的一系列新的精确解.包括各种类孤立波解、类周期解等,并构造了该方程的几种不同形式的局域相干结构.By construction of two new Riccati equations,Based on the idea of homogeneralization balance principle and variable separation approach, by usingMathematica Software. several types of exact solutions to the （2＋1）-dimensional dispersive long wave equation with variable coefficient are obtained, which include solitary-wave-like solutions, like-periodical solutions and so on, and the very rich localized coherent structures are revealed.

关 键 词：变系数 色散长波方程 类孤子解 类周期解 RICCATI方程组 

分 类 号：O175.2[理学—数学]