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Nonlinear transform and Jacobi elliptic function solutions of nonlinear equations

✍ Scribed by Jianbin Liu; Lei Yang; Kongqing Yang


Book ID
108088258
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
396 KB
Volume
20
Category
Article
ISSN
0960-0779

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Symbolic computation of Jacobi elliptic
✍ 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