Some new solutions derived from the nonlinear (2+1)-dimensional Toda equation---an efficient method of creating solutions
Bai Cheng-Lin(白成林)a)†, Zhang Xia(张霞)a), and Zhang Li-Hua (张立华)b)
aSchool of Physics Science and Information Engineering, Liaocheng University, Liaocheng 252059, China; bDepartment of Mathematics, Dezhou College, Dezhou 253023, China
Abstract This paper presents a new and efficient approach for constructing exact solutions to nonlinear differential--difference equations (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+1)-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.
Received: 22 June 2008
Revised: 17 July 2008
Accepted manuscript online:
Fund: Project supported
by the National Natural Science Foundation of China and the Natural
Science Foundation of Shandong Province in China (Grant No
Y2007G64).
Cite this article:
Bai Cheng-Lin(白成林), Zhang Xia(张霞), and Zhang Li-Hua (张立华) Some new solutions derived from the nonlinear (2+1)-dimensional Toda equation---an efficient method of creating solutions 2009 Chin. Phys. B 18 475
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