New exact solutions to some difference differential equations

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Published under licence by IOP Publishing Ltd
, , Citation Wang Zhen and Zhang Hong-Qing 2006 Chinese Phys. 15 2210 DOI 10.1088/1009-1963/15/10/004

1009-1963/15/10/2210

Abstract

In this paper, we use our method to solve the extended Lotka–Volterra equation and discrete KdV equation. With the help of Maple, we obtain a number of exact solutions to the two equations including soliton solutions presented by hyperbolic functions of sinh and cosh, periodic solutions presented by trigonometric functions of sin and cos, and rational solutions. This method can be used to solve some other nonlinear difference–differential equations.

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10.1088/1009-1963/15/10/004