学术
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Matlnematica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.[著者文摘]
关 键 词:
文章出处:
《应用数学》-2007年20卷4期 -777-782页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）04-0777-06
New Soliton-like Solutions and Localized Coherent Structures to the（2＋1）-dimensional Dispersive Long Wave Equations with Variable Coefficients
LU Dian-chen , YANG Guang-juan （Faculty of Science ,Jiangsu University ,Zhenjiang 212013 ,China）
Abstract:
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.[著者文摘]
Key words:
Variable coefficient; Dispersive long wave equation; Solitary-wave-like solu-tions ; Likeperiodical solutions ; Riccati equation
基金资助:
国家自然科学基金资助项目（10420130638）
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