Symbolic Computation and New Soliton-like Solutions to the (2+1)-dimensional Toda Lattice

Volume 4, Issue 3, pp 310--316 http://dx.doi.org/10.22436/jmcs.04.03.04

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Authors

Lan-Lan Huang - College of Mathematics and Information Science, Neijiang Normal University, Sichuan 641112, P. R. China Kai-Teng Wu - College of Mathematics and Information Science, Neijiang Normal University, Sichuan 641112, P. R. China Guo-Cheng Wu - College of Mathematics and Information Science, Neijiang Normal University, Sichuan 641112, P. R. China

Abstract

In this paper, with the aid of symbolic computation, an algebraic algorithm is proposed to construct soliton-like solutions to (2+1)-dimensional differentialdifference equations. The famous (2+1)-dimensional Toda equation is explicitly solved and some new classes of soliton-like solutions are obtained.

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Keywords

• symbolic computation
• soliton-like solutions
• non-travelling solution.

MSC

•  35C08
•  35B10
•  35Q51

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