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高阶(2+1)维Broer—Kaup方程的多孤子解结构
引用本文:张解放,余党军.高阶(2+1)维Broer—Kaup方程的多孤子解结构[J].浙江师范大学学报(自然科学版),2001,24(3):217-220,226.
作者姓名:张解放  余党军
作者单位:1. 浙江师范大学非线性物理研究所,
2. 金华职业技术学院理工学院,
摘    要:利用推广的齐次平衡方法,首先将高阶(2+1)维Broer-Kaup方程线性化,然后构造出丰富的广义孤子解,包括单孤子解,单曲线孤子解,单dromion解,多dromion解,本方法直接而简单,可推广应用一大类复杂的(2+1)维非线性演化方程。

关 键 词:齐次平衡法  孤子解  高阶Broer-Kaup方程  非线性可积模型  线性化  单孤子解  单曲线孤子解
文章编号:1001-5051-(2001)03-0217-04

Generalized dromion structures of the higher order (2+1) dimensional Broer-Kaup equations
ZHANG Jie-fang,YU Dang-Jun.Generalized dromion structures of the higher order (2+1) dimensional Broer-Kaup equations[J].Journal of Zhejiang Normal University Natural Sciences,2001,24(3):217-220,226.
Authors:ZHANG Jie-fang  YU Dang-Jun
Abstract:In this paper,by the generalized homogeneous balance method, the linearization form of the higher order (2+1) dimensional Broer-Kaup equations were established. Starting from their linear form,the generalized dromion solutions were constructed.Single soliton,single curve soloton,single dromion,multi-dromion could be then obtained.The method used was very simple and effective and could be also generalized to a large class of (2+1) dimensional evolution equations.
Keywords:homogeneous balance method  soliton solution  higher order Broer-Kaup equations
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