广义(2+1)维浅水波类方程的反应解与呼吸解  

Interaction solutions and breather solutions to generalized(2+1)-dimensional shallow water wave equations

作　　者：徐慧琴 银山[1] XU Huiqin;YIN Shan(College of Sciences,Inner Mongolia University of Technology,Hohhot,Inner Mongolia 010051,China)

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2022年第2期97-104,共8页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：国家自然科学基金项目(12161064);内蒙古自然科学基金项目(2020LH01003);内蒙古工业大学科学研究项目(ZD202018)。

摘　　要：利用广义双线性方法研究广义(2+1)维浅水波类方程。借助符号软件Mathematica得到了该方程的19类反应解、5类呼吸解。对一类反应解和一类呼吸解,当参数取特定值时通过它们的三维图进行分析,发现随时间t的变化,lump与孤子的反应效应图以及变化趋势。由此,说明了广义(2+1)维浅水波类方程解的丰富性和部分解的特性。The generalized(2+1)-dimensional shallow water wave equations are studied by the generalized bilinear method.With the help of the symbolic software Mathematica,19 types of interaction solutions and 5 types of breather solutions are obtained.One class of interaction solutions and one class of breather solutions are analyzed through their three-dimensional graphs when the parameters take specific values;and their changes with time t,the reaction effect graphs of lump and soliton,and the change trends are found.Thus,the richness and partial solution properties of the generalized(2+1)dimensional shallow-water wave-like equations are explained.

关 键 词：反应解 呼吸波解 广义浅水波类方程 广义双线性算子 

分 类 号：O29[理学—应用数学]