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
✦ LIBER ✦
Rational Jacobi elliptic solutions for nonlinear differential–difference lattice equations
✍ Scribed by Khaled A. Gepreel; A.R. Shehata
- Book ID
- 113449406
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 205 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Symbolic computation of Jacobi elliptic
✍
Xuelin Yong; Xin Zeng; Zhiyong Zhang; Yufu Chen
📂
Article
📅
2009
🏛
Elsevier Science
🌐
English
⚖ 481 KB
Some Nonlinear Elliptic Partial Differen
✍
McAllister, G. T.
📂
Article
📅
1964
🏛
Society for Industrial and Applied Mathematics
⚖ 484 KB
Discrete Jacobi sub-equation method for
✍
Zhen Wang; Wen-Xiu Ma
📂
Article
📅
2010
🏛
John Wiley and Sons
🌐
English
⚖ 176 KB
Rational interpolation to solutions of R
✍
Alphonse P. Magnus
📂
Article
📅
2009
🏛
Elsevier Science
🌐
English
⚖ 747 KB
It is shown how to define difference equations on particular lattices {x n }, n ∈ Z, where the x n s are values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations (elliptic Riccati equations) have remarkable simp
Approximate rational Jacobi elliptic fun
✍
Lina Song; Weiguo Wang
📂
Article
📅
2010
🏛
Elsevier Science
🌐
English
⚖ 571 KB
A finite difference procedure for solvin
A finite difference procedure for solving coupled, nonlinear elliptic partial differential equations
✍
T.V. Nguyen; R.E. White
📂
Article
📅
1987
🏛
Elsevier Science
🌐
English
⚖ 312 KB