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Symbolic computation of Jacobi elliptic function solutions to nonlinear differential-difference equations

✍ Scribed by Xuelin Yong; Xin Zeng; Zhiyong Zhang; Yufu Chen

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
481 KB
Volume
57
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 algorithm to automatically compute special solutions of nonlinear DDEs. The effectiveness of the package is demonstrated by applying it to a variety of equations.

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