(2+1)维Konopelchenko-Dubrovsky方程新的多孤子解  

New multisoliton solutions for (2+1)dimensional Konopelchenko-Dubrovsky equations

作　　者：叶彩儿[1,2] 张卫国[1] 

机构地区：[1]上海理工大学理学院,上海200093 [2]浙江林学院理学院,临安311300

出　　处：《物理学报》2010年第8期5229-5234,共6页Acta Physica Sinica

基　　金：上海市重点学科项目(批准号:S30501);上海市自然科学基金(批准号:10ZR1420800)资助的课题~~

摘　　要：利用齐次平衡方法,将(2+1)维Konopelchenko-Dubrovsky方程转化为两个变量分离的线性偏微分方程,然后采用三种不同的函数假设,得到相应的常系数微分方程,通过求解特征方程,方便地构造出Konopelchenko-Dubrovsky方程新的多孤子解.In this paper,using the homogeneous balance method,the （2 ＋ 1）dimensional Konopelchenko-Dubrovsky equations are converted into two variable-separated linear partial differential equations. for three different function assumptions,the constant coefficient differential equations are obtained,respectively. By solving the eigenequations,new multisoliton solutions of the KD equations are constructed conveniently.

关 键 词：(2+1)维Konopelchenko-Dubrovsky方程 齐次平衡法 多孤子解 

分 类 号：O175.29[理学—数学]