Some new solutions derived from the nonlinear (2+1)-dimensional Toda equation an efficient method of creating solutions

• 来源期刊: 中国物理B（英文版）
• 关键词: hyperbolic function method nonlinear differential-difference equations soliton-like so- lutions period-form solutions
• 年，卷（期）: 2009,（2）
• 页码范围: 475-481
• 页数: 7页
• 语种: 英文

摘要

This paper presents a new and efficient approach for constructing exact solutions to nonlinear differential-differenceequations (NLDDEs) and lattice equation. By using this method via symbolic computation system MAPLE, we obtained abundant soliton-like and/or period-form solutions to the (2+l)-dimensional Toda equation. It seems that solitary wave solutions are merely special cases in one family. Furthermore, the method can also be applied to other nonlinear differential-difference equations.