一种由光滑孤子解构造尖峰孤子解的方法  

A method of constructing peaked soliton solution of nonlinear wave equation by using smooth soliton solution

作　　者：刘煜[1] 刘伟庆[2] 

机构地区：[1]河南电力试验研究院,郑州450052 [2]河南科技大学数学与统计学院,洛阳471003

出　　处：《物理学报》2011年第12期8-12,共5页Acta Physica Sinica

基　　金：河南电力试验研究院科研基金资助的课题~~

摘　　要：提出了一种由钟状光滑孤子(或孤波)解构造尖峰孤子解的方法,即根据已知的钟状孤子(或孤波)解的形式直接拟定尖峰孤子解的形式,然后确定拟解中的待定参数,得到具体的解式.通过5个非线性方程(组)对该方法进行了验证,表明方法是可行的.钟状光滑孤子(或孤波)解与尖峰孤子解这两种性质完全不同的解可以同时存在,尖峰孤子解的表达式包含了钟状光滑孤子(或孤波)解,后者可以作为前者的特例.We propose a method of obtaining peakon solution from bell-shape smooth soliton （or solitary wave）solution,i.e.constructing directly an ansatz solution of peakon according to the well-known bell-shape smooth soliton solution and then determining the coefficients in ansatz solution.The method is verified to be feasible for four nonlinear wave equations and one set of equations.The bell-shape smooth soliton （or solitary wave）solution and peakon solution can exist in the same expression and the expressions of peakon solutions include those of the bell-shape smooth soliton solutions and the latter are the special cases of the former.

关 键 词：非线性波方程 钟状光滑孤子(或孤波)解 尖峰孤子解 

分 类 号：O175.29[理学—数学]