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

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.

Various new traveling wave solutions for conformable time-fractional Sasa-Satsuma equation

“…In literature, to investigate the exact solutions for fractional PDEs, the authors use many forms of fractional derivative, in particular, Riemann Liouville, Jumarie's modified Riemann-Liouville and Caputo derivatives [2,5,6,7,8,16,23].…”