变系数(3+1)维破碎孤子方程的复合型解  

The Complex Solutions of the Variable Coefficient(3+1)Dimensional Broken Soliton Equation

作　　者：范俊杰 套格图桑[2] FAN Jun-jie;Taogetusang(Inner Mongolia Honder College of Arts and Sciences,Hohhot 010000,China;College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]内蒙古鸿德文理学院,内蒙古呼和浩特010000 [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）》2023年第2期127-131,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：内蒙古自治区高等学校科学技术研究资助项目(NJZY22519)。

摘　　要：基于Riccati方程与二阶线性常微分方程构建扩展的辅助方程法,并借助符号计算系统Mathematica,获得了变系数(3+1)维破碎孤子方程的由双曲函数、三角函数和有理函数两两组合的复合型解。An extended auxiliary equation method is constructed based on the Riccati equation and the second-order linear ordinary differential equation,and the complex solutions of the variable coefficients(3+1)dimensional broken soliton equation are obtained with the help of the symbolic computing system Mathematica,which consist of hyperbolic function,trigonometric function and rational function.

关 键 词：扩展的辅助方程法 变系数(3+1)维破碎孤子方程 复合型解 

分 类 号：O343.1[理学—固体力学]