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首页> 外文期刊>Journal of Science of the University of Kelaniya Sri Lanka >Analytical solutions of the time-fractional non-linear Schrodinger equation with zero and non zero trapping potential through the Sumudu decomposition method
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Analytical solutions of the time-fractional non-linear Schrodinger equation with zero and non zero trapping potential through the Sumudu decomposition method

机译：通过Sumudu分解方法具有零和非零捕集电位的时间分数非线性薛定格式方程的分析解

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摘要

Sumudu decomposition method is used to construct the approximate analytical solutions of time-fractional nonlinear Schrodinger equations with zero and nonzero trapping potential. The Sumudu decomposition method is a combined form of the Sumudu transform and the Adomian decomposition method. The fractional derivatives are defined in the Caputo sense. The exact solutions of some nonlinear Schrodinger equations are given as a special case of our approximate analytical solutions. The computations show that the described method is easy to apply, and it needs smaller size of computation as compared to the other existing methods. Further, the solutions are derived in a convergent series form which shows the effectiveness of the method for solving a wide variety of nonlinear fractional differential equations.
机译：Sumudu分解方法用于构造具有零和非零捕获电位的时间分数非线性Schrodinger方程的近似分析解。 Sumudu分解方法是Sumudu变换和ADOMian分解方法的组合形式。分数衍生物在Caputo意义上定义。一些非线性Schrodinger方程的确切解作为我们近似分析解决方案的特殊情况。计算表明，与其他现有方法相比，所描述的方法易于应用，并且需要更小的计算尺寸。此外，解决方案以收敛串联形式推导出来，其表示求解各种非线性分数差分方程的方法的有效性。

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