Abstract and Applied Analysis
Volume 2012 (2012), Article ID 861438, 6 pages
http://dx.doi.org/10.1155/2012/861438
Research Article
Solitary-Solution Formulation for Differential-Difference Equations Using an Ancient Chinese Algorithm
1National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, 199 Ren-ai Road, Suzhou 215123, China
2Mathematics & Statistics Department, Faculty of Science, Taif University, P.O. Box 888, Saudi Arabia
3Department of Mathematics, Faculty of Science, Menofiya University, Shebin Elkom, Egypt
4Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang, Sichuan 641112, China
5College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan 641112, China
Received 6 December 2011; Accepted 10 January 2012
Academic Editor: Allan C. Peterson
Copyright © 2012 Ji-Huan He et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This paper applies an ancient Chinese algorithm to differential-difference equations, and a solitary-solution formulation is obtained. The discrete mKdV lattice equation is used as an example to elucidate the solution procedure.