A New Periodic Solution to Jacobi Elliptic Functions of MKdV Equation and BBM Equation

作     者：Hong-cai MA Zhi-Ping ZHANG Ai-ping DENG 

作者机构：Department of Applied Mathematics College of Science Donghua University Shanghai 201620 China School of Mathematics and Information Sciences Henan University Kaifeng 475000 China 

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

年 卷 期：2012年第28卷第2期

页      面：409-415页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (No. 10647112) the Foundation of Donghua University 

主　　题：(1+1)-dimensional MKdV equation BBM equation auxiliary equation method traveling wavesolution nonlinear 

摘      要：Based on the homogeneous balance method, the Jacobi elliptic expansion method and the auxiliary equation method, the first elliptic function equation is used to get a new kind of solutions of nonlinear evolution equations. New exact solutions to the Jacobi elliptic function of MKdV equations and Benjamin-Bona-Mahoney （BBM） equations are obtained with the aid of computer algebraic system Maple. The method is also valid for other （l＋l）-dimensional and higher dimensional systems.