A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application

XF Yang, ZC Deng, Y Wei - Advances in Difference equations, 2015 - Springer
Abstract The Riccati-Bernoulli sub-ODE method is firstly proposed to construct exact
traveling wave solutions, solitary wave solutions, and peaked wave solutions for nonlinear …

[HTML][HTML] Exact solutions to the (2+ 1)-Dimensional Heisenberg ferromagnetic spin chain equation by using modified simple equation and improve F-expansion …

MH Bashar, SMR Islam - Physics Open, 2020 - Elsevier
In this article, we implement the modified simple equation (MSE) and improve F-expansion
method to find the exact solutions of the (2​+​ 1)-dimensional Heisenberg Ferromagnetic …

[HTML][HTML] Variational and non-variational approaches with Lie algebra of a generalized (3+ 1)-dimensional nonlinear potential Yu-Toda-Sasa-Fukuyama equation in …

OD Adeyemo, CM Khalique, YS Gasimov… - Alexandria Engineering …, 2023 - Elsevier
Nonlinear partial differential equations emerge in an extensive variants of physical problems
inclusive of fluid dynamics, solid mechanics, plasma physics, quantum field theory as well as …

[HTML][HTML] Construction of traveling wave solutions of the (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation

MH Bashar, SMR Islam, D Kumar - Partial Differential Equations in Applied …, 2021 - Elsevier
The present paper applies the exp (− φ (ξ))-expansion and the extended tanh-function
methods to the (2+ 1)-dimensional Heisenberg Ferromagnetic Spin Chain (HFSC) equation …

Generalized exp-function method to find closed form solutions of nonlinear dispersive modified Benjamin–Bona–Mahony equation defined by seismic sea waves

M Shakeel, Attaullah, ER El-Zahar, NA Shah… - Mathematics, 2022 - mdpi.com
Using the new generalized exp-function method, we were able to derive significant novel
closed form solutions to the nonlinear dispersive modified Benjamin–Bona–Mahony …

Obtaining exact solutions of nonlinear partial differential equations via two different methods

A Akbulut, SMR Islam, H Rezazadeh… - International Journal of …, 2022 - World Scientific
In this paper, we obtained the exact solutions of the (1+ 1)-dimensional nonlinear dispersive
modified Benjamin–Bona–Mahony (DMBBM) and the seventh-order Sawada–Kotera–Ito …

[HTML][HTML] Traveling wave structures of some fourth-order nonlinear partial differential equations

H Esen, N Ozdemir, A Secer, M Bayram - Journal of Ocean Engineering …, 2023 - Elsevier
This study presents a large family of the traveling wave solutions to the two fourth-order
nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method. In this …

[HTML][HTML] Immeasurable soliton solutions and enhanced (G'/G)-expansion method

SMR Islam, MH Bashar, N Muhammad - Physics Open, 2021 - Elsevier
In this paper, we extract the enormous soliton solutions from the (2+ 1)-dimensional
Heisenberg ferromagnetic spin chain (HFSC) equation with the aid of enhanced (G′/G) …

[HTML][HTML] Modulation instability analysis and soliton solutions of the modified BBM model arising in dispersive medium

SW Yao, KU Tariq, M Inc, RN Tufail - Results in Physics, 2023 - Elsevier
In this article, a nonlinear dispersive structure namely the modified Benjamin–Bona–Mahony
(BBM) model is studied by employing three different approaches to develop some new …

Bifurcation of exact solutions for the space-fractional stochastic modified Benjamin–Bona–Mahony equation

A Elmandouh, E Fadhal - Fractal and Fractional, 2022 - mdpi.com
This paper studies the influence of space-fractional and multiplicative noise on the exact
solutions of the space-fractional stochastic dispersive modified Benjamin–Bona–Mahony …