<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

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

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, generalized Hirota Satsuma coupled KdV system is solved with tanh method and q-Homotopy analysis method. New fractional derivative definition...

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

Published Online: Sep 02, 2017

Page range: 37 - 50

Received: Jun 07, 2016

Accepted: Feb 17, 2017

DOI: https://doi.org/10.1515/awutm-2017-0003

Keywords
Tanh Method, Hirota-Satsuma Couple KdV System, q-Homotopy Analysis Method, Conformable Fractional Derivative.

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Sep 02, 2017

Page range: 37 - 50

Received: Jun 07, 2016

Accepted: Feb 17, 2017

DOI: https://doi.org/10.1515/awutm-2017-0003

KeywordsTanh Method, Hirota-Satsuma Couple KdV System, q-Homotopy Analysis Method, Conformable Fractional Derivative.

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Tanh Method, Hirota-Satsuma Couple KdV System, q-Homotopy Analysis Method, Conformable Fractional Derivative.