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New exact solutions to some difference differential equations
Authors:Wang Zhen and Zhang Hong-Qing
Affiliation:Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
Abstract:In this paper, we use our method to solve the extended Lotka--Volterra equation anddiscrete KdV equation. With the help of Maple, we obtain a number of exact solutionsto the two equations including soliton solutions presented by hyperbolic functionsof sinh and cosh, periodic solutions presented by trigonometric functions ofsin and cos, and rational solutions. This method can be used to solve someother nonlinear difference--differential equations.
Keywords:difference differential equation   solitonsolutions   Lotka--Volterra equation   discrete KdVhbox{hskip 1.9cm} equation
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