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A new periodic solution to Jacobi elliptic functions of MKdV equation and BBM equation

✍ Scribed by Hong-cai Ma; Zhi-Ping Zhang; Ai-ping Deng

Book ID
113058328
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2012
Tongue
English
Weight
178 KB
Volume
28
Category
Article
ISSN
0168-9673

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Symbolic computation of Jacobi elliptic
Symbolic computation of Jacobi elliptic function solutions to nonlinear differential-difference equations
✍ Xuelin Yong; Xin Zeng; Zhiyong Zhang; Yufu Chen πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 481 KB

In this paper, an algorithm is presented to find exact polynomial solutions of nonlinear differential-difference equations(DDEs) in terms of the Jacobi elliptic functions. The key steps of the algorithm are illustrated by the discretized mKdV lattice. A Maple package JACOBI is developed based on the