A new computational investigation to the new exact solutions of (3 + 1)-dimensional WKdV equations via two novel procedures arising in shallow water magnetohydrodynamics

Author:

Zhou Maojie1,Akbulut Arzu2,Kaplan Melike3,Kaabar Mohammed K. A.45,Yue Xiao-Guang67

Affiliation:

1. Guilin University of Technology , Guilin , China

2. Mathematics-Computer Department, Art-Science Faculty, Eskisehir Osmangazi University , Eskisehir , Turkey

3. Department of Computer Engineering, Faculty of Engineering and Architecture, Kastamonu University , Kastamonu , Turkey

4. Jabalia Camp, United Nations Relief and Works Agency (UNRWA) Palestinian Refugee Camp , Gaza Strip Jabalya , Palestine

5. Institute of Mathematical Sciences, Faculty of Science, University of Malaya , Kuala Lumpur 50603 , Malaysia

6. Department of Computer Science and Engineering, European University Cyprus , Nicosia 1516 , Cyprus

7. CIICESI-ESTG, Politecnico do Porto , 4610-156 Felgueiras , Portugal

Abstract

Abstract Various new exact solutions to ( 3 + 1 ) \left(3+1) -dimensional Wazwaz–KdV equations are obtained in this work via two techniques: the modified Kudryashov procedure and modified simple equation method. The 3D plots, contour plots, and 2D plots of some obtained solutions are provided to describe the dynamic characteristics of the obtained solutions. Our employed techniques are very helpful in constructing new exact solutions to several nonlinear models encountered in ocean scientific phenomena arising in stratified flows, shallow water, plasma physics, and internal waves.

Publisher

Walter de Gruyter GmbH

Subject

Computer Networks and Communications,General Engineering,Modeling and Simulation,General Chemical Engineering

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