SOLITARY WAVE SOLUTIONS OF SOME CONFORMABLE TIME-FRACTIONAL COUPLED SYSTEMS VIA AN ANALYTIC APPROACH

• Published in: Journal of the sciences and arts Vol. 21; no. 2; pp. 487 - 502
• Main Authors: Zulfiqar, Aniqa, Ahmad, Jamshad
• Format: Journal Article
• Language: English
• Published: Targoviste Valahia State University under the authority of The National University Research Council 01.04.2021
• Subjects: Approximation; Boussinesq equations; Calculus; Computational fluid dynamics; Exact solutions; Fractional calculus; Iterative methods; Mathematical models; Methods; Ocean engineering; Optical fibers; Plasma physics; Solitary waves; Water waves; Wave equations
• ISSN: 1844-9581; 2068-3049
• DOI: 10.46939/J.Sci.Arts-21.2-al5

The convergence of the method is illustrated numerical and their physical significance is discussed Keywords: Conformable fractional derivative; conformable variational iteration method; modified Boussinesq equation; Hirota-Satsuma coupled KdV equation; long wave equation; Drinfeld-Sokolov-Wilson (DSW) equation; solitary wave solution. 1. INTRODUCTION The nonlinear coupled mathematical models are used to model most of the natural problems, such as ocean engineering, optical fibers, chemical-physics, fluid dynamics, biology, plasma physics and other fields of engineering. For diagnosing these mathematical models as well as in addition follow these physical models in realistic mathematical studies, it is essential to discover their approximate and exact solutions that support in understanding the phenomena. in fractional calculus a lot of numerical, analytical and approximate methods are developed for handling nonlinear models [1-7]. THEDSWEQUATION where p, q, r and s are nonzero parameters [42], subject to conditions The corresponding exact solution of equation (30) is given by According to the procedure described above, the consequently approximate independent solutions are The higher order approximate solution can be calculated using Mathematica version 10.4.