(7)Oblique closed form solutions of some important fractional evolution equations via the modified Kudryashov method arising in physical problems

PDF.pdf

F. Ferdous^∗, M.G. Hafez

Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong, 4349, Bangladesh 

Received 12 June 2018; received in revised form 18 July 2018; accepted 14 August 2018 

Available online 20 August 2018 

Abstract

The paper deals with the obliquely propagating wave solutions of fractional nonlinear evolution equations (NLEEs) arising in science and engineering. The conformable time fractional (2 + 1)-dimensional extended Zakharov-Kuzetsov equation (EZKE), coupled space-time fractional (2 + 1)-dimensional dispersive long wave equation (DLWE) and space-time fractional (2 + 1)-dimensional Ablowitz-Kaup-Newell- Segur (AKNS) equation are considered to investigate such physical phenomena. The modified Kudryashov method along with the properties of conformable and modified Riemann-Liouville derivatives is employed to construct the oblique wave solutions of the considered equations. The obtained results may be useful for better understanding the nature of internal oblique propagating wave dynamics in ocean engineering. © 2018 Shanghai Jiaotong University. Published by Elsevier B.V. 

This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)  

JEL classification: 35E99; 35N05; 35Q40 

Keywords: Fractional nonlinear evolution equations; Conformable derivative; Modified kudryashov method; Oblique wave solutions.