Abstract An algorithm is devised to obtained exact travelling wave solutions of differential-different equations by means of hyperbolic function. For illustration, we apply the method to solve the discrete nonlinear (2+1)-dimensional Toda lattice equation and the discretized nonlinear mKdV lattice equation, and successfully constructed some explicit and exact travelling wave solutions.
Received: 21 October 2004
Revised: 03 December 2004
Accepted manuscript online:
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the NationalNatural Science Foundation of China (Grant No 10172056) and the
Outstanding Youth Foundation of Lishui University, China (Grant No QN04008)
Cite this article:
Zhu Jia-Min (朱加民) Hyperbolic function method for solving nonlinear differential-different equations 2005 Chinese Physics 14 1290
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