Soliton Solutions for space-time fractional Heisenberg ferromagnetic spin chain equation by generalized Kudryashov method and modified exp -expansion function method

Abstract

This paper addresses the Heisenberg ferromagnetic spin chain equation with beta time derivative. Integration schemes are used to study this equation. They are generalized Kudryashov method and modified exp -expansion function method. Dark, bright and dark-bright soliton solutions of this equation are procured.

New soliton solutions of kraenkel-manna-merle system with beta time derivative

“…Definition. Let p(t) be a function identified for all non-negative t. Then, the beta derivative of p(t) is given by [26][27][28]…”

Application of the GKM of to some nonlinear partial equations

“…The purpose of this article is to detect soliton solutions of strain wave equation and (2+1)-dimensional BK equation using GKM [24][25][26][27]. First of all, the features of GKM, which is the method we used in our study, are explained.…”

Fractional-Stochastic Solutions for the Generalized ( 2 + 1 )-Dimensional Nonlinear Conformable Fractional Schrödinger System Forced by Multiplicative Brownian Motion

“…The exact solutions of PDEs are important in nonlinear science. As a result, various analytical techniques, such as tanh-sech [10,11], Darboux transformation [12], sine-cosine [13,14], extended simple equation [15], extended sinh-Gordon equation expansion [16], F-expansion [17], Kudryashov technique [18], generalized Kudryashov [19][20][21], exp ð −ϕðςÞÞ-expansion [22], ðG′/GÞ-expansion [23][24][25], Hirota's function [26], perturbation [5,27], the Jacobi elliptic function [28,29], and Riccati-Bernoulli sub-ODE [30], have been created to deal with these types of equations.…”