变系数(2+1)维Broer-Kaup方程的无穷序列新精确解  

Infinite Sequence New Exact Solutions of the(2+1)-dimensional Broer-Kaup Equation with Variable Coefficients

作　　者：白玉梅[1] 套格图桑[1,2] 

机构地区：[1]内蒙古民族大学数学学院,内蒙古通辽028043 [2]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2015年第6期743-748,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11361040);内蒙古自然科学基金资助项目(2015MS0128)

摘　　要：利用第二种椭圆方程的新解和Bcklund变换,获得了变系数非线性发展方程的无穷序列类孤子新精确解.在此基础上,借助非线性发展方程的一种形式解和符号计算系统Mathematica,以变系数(2+1)维BroerKaup方程为应用实例,构造了该方程的无穷序列类孤子新精确解,这些解包括了无穷序列光滑类孤子解和尖峰类孤立子解.To search for the infinite sequence soliton-like new exact solutions of nonlinear evolution equations with variable coefficients, new solutions and the B/icklund transformation of the second kind of elliptic equation are presented. Based on this, a formal solution of nonlinear evolution equations is proposed, then the （2＋1）-dimensional Broer-Kaup equation with variable coefficients is chosen as an applicable example and the infinite sequence soliton-like new exact solutions are constructed with the help of symbolic computation system Mathematica including infinite sequence smooth soliton-like solutions and peak soliton-like solutions.

关 键 词：变系数非线性发展方程 第二种椭圆方程 BACKLUND变换 无穷序列 精确解 

分 类 号：O175.29[理学—数学]