Exact Solutions of Kupershmidt Equation, Approximate Solutions for Time-Fractional Kupershmidt Equation: A Comparison Study

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Medjahed Djilali, Ali Hakem, Abdelkader Benali, Exact Solutions of Kupershmidt Equation, Approximate Solutions for Time-Fractional Kupershmidt Equation: A Comparison Study, Int. J. Anal. Appl., 18 (3) (2020), 493-512.

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Medjahed Djilali, Ali Hakem, Abdelkader Benali

Abstract

In this article, a technique namely Tanh method is applied to obtain some traveling wave solutions for Kupershmidt equation, and by using LADM we obtain an approximate solution to timefractional Kupershmidt equation.

A comparison between the traveling wave solution (exact solution) and the approximate one of equation under study, indicate that Laplace Adomian Decomposition Method (LADM) is highly accurate and can be considered a very useful and valuable method.

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