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Homotopy perturbation method for solving a system of Schr?dinger-Korteweg-de Vries equations

机译:求解Schr?dinger-Korteweg-de Vries方程组的同伦摄动方法

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Numerical methods used to find exact solution for the nonlinear dif- ferential equations.During the past decades Iterative methods has attracted attention of researcher for solving fractional differential equations.In the present paper, the homo- topy perturbation method has been successively used to obtain approximate analytical solutions of the fractional coupled Schrodinger-Korteweg-de Vries and coupled sys- tem of diffusion-reaction equation equations.We consider fractional derivative in the Caputo sense.We have illustrated by examples the ability of proposed algorithm for solving fractional system of nonlinear equation.
机译:用于寻找非线性微分方程精确解的数值方法。在过去的几十年中,迭代方法引起了研究者对分数阶微分方程的求解的注意。在本文中,连续地使用了同态摄动方法来求近似值。分数耦合Schrodinger-Korteweg-de Vries耦合方程组和扩散反应方程方程组的解析解。我们考虑了Caputo意义上的分数导数。通过示例说明了所提出算法求解非线性方程组分数阶系统的能力。 。

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