色散系数可调的球KdV方程精确衰减孤波解  

Exact Decay Solitary Wave Solutions of Spherical KdV Equation with Adjustable Dispersive Coefficient

作　　者：李向正[1] 王飞[1] 张金良[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《河南科技大学学报（自然科学版）》2017年第6期70-73,81,共5页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(11301153;11601225);河南科技大学校级科技创新平台建设项目(2015XPT001)

摘　　要：根据简化齐次平衡原则,导出了一个由齐次方程的解到一个可变色散系数的球KdV方程解的非线性变换。该齐次方程容许有指数函数形式的解,通过非线性变换,获得了可变色散系数的球KdV方程的精确衰减单孤波解和双孤波解。Based on the simplified homogeneous balance principle,a nonlinear transformation from the solution of a homogeneous equation to the solution of a spherical Kd V equation with adjustable dispersive coefficient was derived. Since the homogeneous equation admited an exponential type solution,by nonlinear transformation,the exact decay single solitary wave solution and 2-solitary wave solution of the spherical Kd V equation with adjustable dispersive coefficient were acquired.

关 键 词：球KdV方程 简化齐次平衡原则 精确衰减孤波解 

分 类 号：O175.2[理学—数学]