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New exact solutions to some difference differential equations |
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| 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 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. |
| Keywords: | difference differential equation soliton solutions Lotka--Volterra equation discrete KdV hbox{\hskip 1 9cm} equation |
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