基于Bell多项式方法下广义浅水波方程的N-孤子解  

N-Soliton Solutions of Generalized Shallow Water Wave Equation with Bell Polynomial Method

作　　者：孙福伟[1] 郝珊珊[1] 

机构地区：[1]北方工业大学理学院,北京100144

出　　处：《北方工业大学学报》2013年第3期60-66,共7页Journal of North China University of Technology

摘　　要：利用Bell多项式和Hirota双线性方法研究了流体力学中广义浅水波方程,得到了广义浅水波方程的单孤子解、双孤子解和三孤子解,以及N-孤子解的解析表达形式.通过多孤子的演化图形,讨论了不同类型的孤子解的性质.In this paper, via the Bell polynomial and Hirota method,the generalized shallow water wave equation in certain fluids is investigated. The bilinear form, N-soliton solutions analytic expression and B^icklund transformation of the generalized shallow water wave equation are obtained. The one-soliton, two-soliton and three-soliton solutions of the generalized shallow water wave equation are obtained with N-soliton solutions analytic expression. Through graphical analysis, the dynamic features and elastic interactions of different types of multi-soliton solutions for the generalized shallow water wave equation are discussed.

关 键 词：PAINLEVÉ分析 BELL多项式 HIROTA方法 广义浅水波方程 

分 类 号：O175.29[理学—数学]