推广的(2+1)维浅水波方程的精确解及其混沌行为  

Exact solutions and chaotic behaviours of extended(2+1)-dimensional shallow water wave equation

作　　者：杨征[1,2] 

机构地区：[1]丽水学院理学院,浙江丽水323000 [2]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2013年第4期415-420,共6页Communication on Applied Mathematics and Computation

基　　金：浙江省教育厅重点科研资助项目(Z201120169)

摘　　要：利用Riccati方程映射法和变量分离法,得到了推广的(2+1)维浅水波系统的变量分离解(包括孤波解、周期波解和有理函数解),根据得到的孤波解,构造出了方程的单孤子和双孤子结构,研究了孤子的混沌行为.By the Riccati mapping approach and a variable separation approach, new families of variable separation solutions （including solitory wave solutions, periodic wave solutions, and rational function solutions） of the extended （2＋1）- dimensional shallow water wave （ESWW） equation are derived. Based on the derived solitary wave excitation, the single soliton and the two-soliton structures are obtained, and the chaotic behaviours of the system are studied.

关 键 词：Riccati方程映射法 推广的(2+1)维浅水波方程 变量分离解 混沌行为 

分 类 号：O241.82[理学—计算数学]