耦合Konopelchenko-Dubrovsky方程的新精确解  

New exact solutions for coupled Konopelchenko-Dubrovsky equations

作　　者：傅海明[1] 戴正德[2] 

机构地区：[1]广州华夏职业学院基础部,广州510935 [2]云南大学数学与统计学院,昆明650091

出　　处：《齐齐哈尔大学学报（自然科学版）》2012年第1期75-78,共4页Journal of Qiqihar University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10661002)

摘　　要：利用一种基于符号计算的代数方法,结合Maple环境中的Epsilon软件包,求解耦合Konopelchenko-Dubrovsky方程,获得了新的显式行波解,其中包括Jacobi椭圆函数解、双曲函数解和三角函数解。用F-展开法求得(2+1)维色散的长波方程的新周期波解和孤波解。The algebraic method, based on the symbolic computation, has been applied to study new traveling wave solutions for coupled Konopelchenko-Dubrovsky equations by means of epsilon package in Maple. More new explicit travelling wave solutions are obtained, which contain Jacobi ellipse function solutions, hyperbola function solutions and triangular periodic solutions. This article used F-expansion method to get the new periodic wave solutions and solitary wave solutions.

关 键 词：耦合Konopelchenko—Dubrovsky方程 F-展开法 JACOBI椭圆函数解 三角函数解 双曲函数解 

分 类 号：O175.29[理学—数学]