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

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 Ben...

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Bibliographic Details
Published in:Acta Mathematicae Applicatae Sinica 2012-05, Vol.28 (2), p.409-415
Main Authors: Ma, Hong-cai, Zhang, Zhi-Ping, Deng, Ai-ping
Format: Article
Language:English
Subjects:
Applications of Mathematics
BBM方程
Jacobi椭圆函数
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
MKdV方程
Theoretical
周期解
计算机代数系统
非线性演化方程
齐次平衡法
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Summary: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.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-012-0153-7