高阶(2+1)维Broer-Kaup方程的局域相干结构

张解放; 刘宇陆

高阶(2+1)维Broer-Kaup方程的局域相干结构

上海大学, 上海应用数学和力学研究所, 上海 200072

基金项目: 国家自然科学基金资助项目(19872043)

详细信息

作者简介:
张解放(1959- ),男,教授;刘宇陆(1959- ),男,教授,博士.

中图分类号: O175.29
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- 文章访问数: 2157
- HTML全文浏览量: 105
- PDF下载量: 669
- 被引次数: 0
出版历程
- 收稿日期: 2001-07-03
- 修回日期: 2001-11-28
- 刊出日期: 2002-05-15

Localized Coherent Structures of the(2+1)-Dimensional Higher Order Broer-Kaup Equations

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P R China

摘要

摘要: 利用推广的齐次平衡方法,研究高阶(2+1)维Broer-Kaup方程的局域相干结构.首先基于推广的齐次平衡方法,给出这个模型的一个非线性变换,并把它变换成一个线性化的方程.然后从线性化方程出发,构造出一个分离变量的拟解.由于拟解中不仅含有两个y的任意函数,而且还有{αi,βi,γk,kj,lk}和{N,M,L}这些参数可以任意选取,因此合适的选择这些函数和参数,可以得到新的相当丰富的孤子结构.方法直接而简单,可推广应用一大类(2+1)维非线性物理模.
- 扩展齐次平衡法 /
- 高阶Broer-Kaup方程 /
- (2+1)维 /
- 孤子解 /
- dromion解
Abstract: By using the extended homogeneous balance method,the localized cohernet structures are studied.A nonlinear transformation was first established,and then the linearization form was obtained based on the extended homogeneous balance method for the higher order(2+1)-dimensional Broer-Kaup equations.Starting from this linearization form equation,a variable separation solution with the entrance of some arbitrary functions and some arbitrary parameters was constructed.The quite rich localized coherent structures were revealed.This method,which can be generalized to other(2+1)-dimensional nonlinear evolution equation,is simple and powerful.
- higher order Broer-Kaup equation /
- (2+1)-dimension /
- coherent structure /
- homogeneous balance method /

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参考文献(22)

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