𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exact solutions of some systems of nonlinear partial differential equations using symbolic computation

✍ Scribed by Fu-Ding Xie; Ming Li; Yong Zhang


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
310 KB
Volume
44
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper, we present a solution method that utilizes symbolic computation to obtain exact traveling wave solutions of some systems of nonlinear partial differential equations. The solution method is demonstrated by obtaining solutions to the variant shallow water wave equations.


πŸ“œ SIMILAR VOLUMES


Exact solutions of some coupled nonlinea
✍ N.H. Sweilam; M.M. Khader πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 696 KB

The purpose of this study is to introduce a modification of the homotopy perturbation method using Laplace transform and PadΓ© approximation to obtain closed form solutions of nonlinear coupled systems of partial differential equations. Two test examples are given; the coupled nonlinear system of Bur

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

Positive Radial Solutions of Some Nonlin
✍ Hai Dang; RaΓΊl ManΓ‘sevich; Klaus Schmitt πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 399 KB

We consider Dirichlet boundary value problems for a class of nonlinear ordinary differential equations motivated by the study of radial solutions of equations which are perturbations of the p -Laplacian.