On the New Solutions of the Conformable Time Fractional Generalized Hirota-Satsuma Coupled KdV System-Reference-Cited by-同舟云学术

On the New Solutions of the Conformable Time Fractional Generalized Hirota-Satsuma Coupled KdV System

Published:2017-07-26 Issue:1 Volume:55 Page:37-50
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Çenesiz Yucel¹,Kurt Ali²,Tasbozan Orkun²

Affiliation:

1. Department of Mathematics, Selçuk University, Konya , Turkey

2. Department of Mathematics, Mustafa Kemal University, Hatay , Turkey

Abstract

Abstract In this paper, generalized Hirota Satsuma coupled KdV system is solved with tanh method and q-Homotopy analysis method. New fractional derivative definition called “conformable fractional derivative” used in the solution procedure. Tanh method with conformable derivative firstly introduced in the literature. By the graphics of analytical and approximate solutions, it is shown that, both methods provide an effective and powerful mathematical tool for solving nonlinear PDEs containing conformable fractional derivative.

Publisher

Walter de Gruyter GmbH

Reference21 articles.

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