New exact solutions to some difference differential equations |
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Authors: | Wang Zhen and Zhang Hong-Qing |
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Affiliation: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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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. |
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Keywords: | difference differential equation solitonsolutions Lotka--Volterra equation discrete KdVhbox{hskip 1.9cm} equation |
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