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

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.