<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

Publié en ligne: 02 sept. 2017

Pages: 37 - 50

Reçu: 07 juin 2016

Accepté: 17 févr. 2017

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

Mots clés
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

Publié en ligne: 02 sept. 2017

Pages: 37 - 50

Reçu: 07 juin 2016

Accepté: 17 févr. 2017

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

Mots clésTanh 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.

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