摘要
首先应用Riccati展开法获得广义(2+1)维Boussinesq方程的96组相互作用解,这类解同时含有三角函数、双曲函数、有理函数、指数函数等,它反映了不同类型非线性波的相互作用.然后应用同宿测试方法结合Hirota双线性形式求得广义(2+1)维Boussinesq方程的周期孤波解,通过相应的时空变换,得到方程其他形式的解.
The 96 group of complexiton solutions for generalized （2＋1）-dimensional Boussinesq equation are constructed by applying Riccati expansion method.These solutions include trigonometric function solutions,hyperbolic function solutions,rational function solutions,exponential function solutions,etc,which reflect the different types of nonlinear wave interaction.By using the homoclinic test approach and Hirota bilinear form,the periodic solitary wave solutions for generalized （2＋1）-dimensional Boussinesq equation are given.Furthermore,some other types of its exact solutions are also found by using the corresponding temporal and spatial transtormation.
出处
《数学的实践与认识》
北大核心
2017年第22期230-237,共8页
Mathematics in Practice and Theory
基金
贵州省教育厅青年科技人才成长项目(黔教合KY字[2016]304)
贵州省卓越教师教育培养计划(数学与应用数学)(201525)
