Research on sensitivity analysis and traveling wave solutions of the (4 + 1)-dimensional nonlinear Fokas equation via three different techniques

Abstract

In the current manuscript, (4+1) dimensional Fokas nonlinear equation is considered to obtain traveling wave solutions. Three renowned analytical techniques, namely the generalized Kudryashov method (GKM), the modified extended tanh technique, exponential rational function method (ERFM) are applied to analyze the considered model. Distinct structures of solutions are successfully obtained. The graphical representation of the acquired results is displayed to demonstrate the behavior of dynamics of nonlinear Fokas equation. Finally, the proposed equation is subjected to a sensitive analysis.

Abundant explicit solutions for the M-fractional coupled nonlinear Schrödinger–KdV equations

“…The improved F-expansion method, 21 projective Riccati equations method, 22 Jacobi elliptic function expansion method, 23 Gʹ/G-expansion method, 24 (d + Gʹ/G)-expansion method, 25 (Gʹ/G, 1/G)-expansion method, 26 sine Gordon method, 27 Lie symmetry method, 28 new Kudryashov's method, 29 auxiliary equation method, 30 exponential rational function method, 31 etc. [32][33][34][35][36][37][38][39][40][41][42] can be used to find doubly periodic solutions, solitary wave solutions, and trigonometric function solutions of these models. More research on the exact solutions, approximate solutions, and dynamic analysis of fractional systems can be found in Refs.…”

Exact Solutions of the Generalized ZK and Gardner Equations by Extended GeneralizedG′/G-Expansion Method

“…The study of exact solutions of such mathematical models is the most exciting area of research investigation. To obtain the exact solutions of such mathematical models, recently, researchers follow different analytical methods, such as tangent hyperbolic method [2], modified extended direct algebraic method [3,4], ðG′/G 2 Þ -expansion method [5], Kudryashov method [6], Lie symmetry method [7], extended trial equation method [8], singular manifold method [9], sinh-Gordon expansion method [10], ðG′/GÞ-expansion method [11], generalized ð G′/GÞ-expansion method [12], generalized-improved ðG′/ GÞ-expansion method [13], extended generalized ðG ′ /GÞ -expansion method [14,15], and ðG′/G, 1/GÞ expansion method [16].…”