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Existence the Solutions of Some Fifth-Order Kdv Equation by Laplace Decomposition Method

机译:拉普拉斯分解法解一类五阶Kdv方程的解

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In this paper, we develop a method to calculate numerical and approximate solution of some fifth-order Korteweg-de Vries equations with initial condition with the help of Laplace Decomposition Method (LDM). The technique is based on the application of Laplace transform to some fifth-order Kdv equations. The nonlinear term can easily be handled with the help of Adomian polynomials. We illustrate this technique with the help of four examples and results of the present technique have closed agreement with approximate solutions obtained with the help of (LDM).
机译:在本文中,我们借助拉普拉斯分解法(LDM),开发了一种在初始条件下计算一些五阶Korteweg-de Vries方程数值和近似解的方法。该技术基于将Laplace变换应用于一些五阶Kdv方程。借助Adomian多项式,可以轻松处理非线性项。我们借助于四个示例来说明该技术,并且本技术的结果与借助(LDM)获得的近似解具有密切的一致性。

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