On the exact solutions to some system of complex nonlinear models

TA Sulaiman, H Bulut, HM Baskonus - Applied Mathematics and …, 2021 - sciendo.com
In this manuscript, the application of the extended sinh-Gordon equation expansion method
to the Davey-Stewartson equation and the (2+ 1)-dimensional nonlinear complex coupled …

Optical soliton solutions for Schrödinger type nonlinear evolution equations by the tan (Φ (ξ)/2)-expansion method

J Manafian - Optik, 2016 - Elsevier
We analytically study the Schrödinger type nonlinear evolution equations by improved tan
(Φ (ξ)/2)-expansion method. Explicit solutions are derived, which include optical bright …

The mathematical and wave profile analysis of the Maccari system in nonlinear physical phenomena

SM Yiasir Arafat, K Fatema, SM Rayhanul Islam… - Optical and Quantum …, 2023 - Springer
The two-dimensional nonlinear complex coupled Maccari system is a significant model in
optics, quantum mechanics, plasma physics, hydrodynamics and some other fields. In this …

[HTML][HTML] Properties of some higher-dimensional nonlinear Schrödinger equations

KS Nisar, IE Inan, M İnç, H Rezazadeh - Results in Physics, 2021 - Elsevier
In this study, we have used the sub-equation method to provide some analytic solutions of
the (2+ 1) and (3+ 1) dimensional nonlinear Schrödinger equations (NLSEs). We obtained …

[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] 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 …

Application of tan (ϕ/2)-expansion method for solving the Biswas–Milovic equation for Kerr law nonlinearity

J Manafian, M Lakestani - Optik, 2016 - Elsevier
In this paper, the improved tan (Φ (ξ)/2)-expansion method is proposed to seek more
general exact solutions of the new partial differential equation. Being concise and …

[HTML][HTML] Wave solutions of the couple Drinfel'd–Sokolov–Wilson equation: New wave solutions and free parameters effect

MH Bashar, SMY Arafat, SMR Islam… - Journal of Ocean …, 2022 - Elsevier
This manuscript employs an exact and explicit soliton solution of the Drinfel'd–Sokolov–
Wilson (DSW) equation. The wave phenomena of the obtained solutions are applied to …

Nonlinear dynamical study to time fractional Dullian–Gottwald–Holm model of shallow water waves

M Younis, AR Seadawy, I Sikandar… - … Journal of Modern …, 2022 - World Scientific
This paper studies the exact traveling wave solutions to the nonlinear Dullin–Gottwald–Holm
model which has the application in shallow-water waves in which the fractional derivative is …

Rational solutions and their interactions with kink and periodic waves for a nonlinear dynamical phenomenon

AR Seadawy, STR Rizvi, MA Ashraf… - … Journal of Modern …, 2021 - World Scientific
Lump (rational) waves and their interactions with kink and periodic waves, periodic cross-
lump solutions will be discussed for (2+ 1)-dimensional Maccari-system in this paper. With …