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首页> 外文期刊>International journal of dynamical systems and differential equations >The exp(-Φ(ξ))-expansion method for finding travelling wave solutions of Vakhnenko-Parkes equation
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The exp(-Φ(ξ))-expansion method for finding travelling wave solutions of Vakhnenko-Parkes equation

机译:寻找Vakhnenko-Parkes方程行波解的exp(-Φ(ξ))-展开方法

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摘要

The paper employs the exp(-Φ(ξ))-expansion method for finding exact solutions of the Vakhnenko-Parkes (VP) equation. Each of the obtained solutions, namely hyperbolic function solutions, trigonometric function solutions, exponential function solutions and rational function solutions, contain an explicit function of the variables in the considered equation. It has been shown that the method provides a powerful mathematical tool for solving non-linear wave equations in mathematical physics and engineering problems.
机译:本文采用exp(-Φ(ξ))-展开法来寻找Vakhnenko-Parkes(VP)方程的精确解。每个获得的解,即双曲函数解,三角函数解,指数函数解和有理函数解,都包含所考虑方程中变量的显式函数。结果表明,该方法为解决数学物理和工程问题中的非线性波动方程提供了强大的数学工具。

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