Truncated series solutions to the(2+1)-dimensional perturbed Boussinesq equation by using the approximate symmetry method  

作　　者：Xiao-Yu Jiao 焦小玉(School of Applied Mathematics,Nanjing University of Finance and Economics)

机构地区：School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210046,China

出　　处：《Chinese Physics B》2018年第10期123-129,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11505094);the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20150984)

摘　　要：In this paper, the（2＋1）-dimensional perturbed Boussinesq equation is transformed into a series of two-dimensional（2 D） similarity reduction equations by using the approximate symmetry method. A step-by-step procedure is used to acquire Jacobi elliptic function solutions to these similarity equations, which generate the truncated series solutions to the original perturbed Boussinesq equation. Aside from some singular area, the series solutions are convergent when the perturbation parameter is diminished.In this paper, the（2＋1）-dimensional perturbed Boussinesq equation is transformed into a series of two-dimensional（2 D） similarity reduction equations by using the approximate symmetry method. A step-by-step procedure is used to acquire Jacobi elliptic function solutions to these similarity equations, which generate the truncated series solutions to the original perturbed Boussinesq equation. Aside from some singular area, the series solutions are convergent when the perturbation parameter is diminished.

关 键 词：approximate symmetry method （2＋1）-dimensional perturbed Boussinesq equation series solutions convergence of series solutions 

分 类 号：O175[理学—数学]