Abundant solitary wave solutions for the fractional coupled Jaulent–Miodek equations arising in applied physics

Abstract

This article explores the abundant solitary wave solutions of the conformable coupled Jaulent–Miodek (JM) equations appearing in applied physics. The aforesaid coupled equations belong to the family of shallow-water wave equations. Two recent modified integration schemes are used for the first time to produce a novel solitary wave, trigonometric and other solutions with some free parameters in the conformable derivative sense. In particular, the modified Kudryashov and [Formula: see text]-expansion schemes are used to illustrate the wave propagations through aforesaid solutions of the JM equations. Furthermore, a comparison is made with some recent results and the dynamics of the obtained solutions are displayed for the reader via soft computation. The outcomes reveal that the methods are effective and provide a direct way of finding novel solutions.

Dynamics of Different Nonlinearities to the Perturbed Nonlinear Schrödinger Equation via Solitary Wave Solutions with Numerical Simulation

“…A great deal of attention has been devoted to the study of exact solutions of NPDEs for more than two decades. Many efficient approaches have been reported to extract wave solutions [19][20][21][22][23][24][25][26]. There are many ways to derive a series of solutions for (2 + 1)-dimensional FDEs; for example, the (G /G 2 ) expansion method [27] and the modified extended tanh expansion method [28,29] are efficient approaches to investigate the different types of wave solutions.…”