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

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 disp...

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Bibliographic Details
Main Authors: F. Ferdous, M.G. Hafez
Format: Article
Language:English
Published: Elsevier 2018-09-01
Series:Journal of Ocean Engineering and Science
Online Access:http://www.sciencedirect.com/science/article/pii/S2468013318300901
Description
Summary: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. Keywords: Fractional nonlinear evolution equations, Conformable derivative, Modified kudryashov method, Oblique wave solutions, MSCClassification codes: 35E99, 35N05, 35Q40
ISSN:2468-0133