Exact Periodic Solutions to Generalized BBM Equation and Relevant Conclusions

作     者：Jun-ying An Wei-guo Zhang 

作者机构：University of Shanghai for Science and Technology Shanghai 200093 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2006年第22卷第3期

页      面：509-516页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Supported by the National Science Foundation of Shanghai (No.03ZR14070) and Shanghai Leading Academic Discipline Project (No.T0502) 

主　　题：Jacobi elliptic function nonlinear evolution equation periodic solutions 

摘      要：In this paper, we consider generalized BBM equation with nonlinear terms of high *** the case of p=1/2, p=1 and p=2, the exact periodic solutions to G-BBM equation are obtained by means of proper transformation, which degrades the order of nonlinear terms. And we prove that if p ≠ 1/2,p ≠ 1 or p ≠ 2, G-BBM equation does not exist this kind of periodic solution.