复合KdV方程组的多种行波解  

MULTIPLE TRAVELING WAVE SOLUTIONS OF THE COMPLEX COUPLED KDV EQUATIONS

作　　者：王银玲[1] 董仲周[1] 

机构地区：[1]河南理工大学数学与信息科学学院,河南焦作454003

出　　处：《井冈山大学学报（自然科学版）》2016年第6期1-5,共5页Journal of Jinggangshan University (Natural Science)

基　　金：国家自然科学基金项目(11305048)

摘　　要：基于齐次平衡法的思想,利用辅助函数,将非线性偏微分方程组转化为代数方程组,并给出了复合Kd V方程组的某些新的精确行波解,其中包括孤立波解、三角函数解、雅克比椭圆函数解和有理函数解。Based on the idea of the homogeneous balance method, we change the nonlinear partial differential equations into the Algebraic equations by means of the auxiliary functions method. Furthermore, we have obtained some new exact traveling wave solutions of the complex coupled KdV equations which include solitary wave solutions, trigonometric function solutions, Jacobian elliptic function solutions and rational solutions.

关 键 词：辅助函数 复合KdV方程组 行波解 

分 类 号：O175.29[理学—数学]