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 …

Double-wave solutions and Lie symmetry analysis to the (2+ 1)-dimensional coupled Burgers equations

MS Osman, D Baleanu, AR Adem, K Hosseini… - Chinese Journal of …, 2020 - Elsevier
Abstract This paper investigates the (2+ 1)-dimensional coupled Burgers equations (CBEs)
which is an important nonlinear physical model. In this respect, by making use of the …

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 …

The effect of multiplicative noise on the exact solutions of the stochastic Burgers' equation

WW Mohammed, S Albosaily, N Iqbal… - Waves in Random …, 2024 - Taylor & Francis
In this paper, we consider the stochastic Burgers' equation, which is forced by multiplicative
noise in the Stratonovich sense. To get a new trigonometric and hyperbolic stochastic …

Interaction characteristics of the Riemann wave propagation in the (2+ 1)-dimensional generalized breaking soliton system

KA Muhamad, T Tanriverdi, AA Mahmud… - … Journal of Computer …, 2023 - Taylor & Francis
In this study, the nonlinear (2+ 1)-dimensional generalized breaking soliton system has
been studied by introducing an appropriate travelling wave transformation. The model under …

Abundant soliton solutions for the Kundu–Eckhaus equation via tan (ϕ (ξ))-expansion method

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 Kundu–Eckhaus equation. Being concise and straightforward, this …

On the complex and hyperbolic structures of the longitudinal wave equation in a magneto-electro-elastic circular rod

HM Baskonus, H Bulut, A Atangana - Smart Materials and …, 2016 - iopscience.iop.org
In this study, we improve a new analytical method called the'Modified exp $(-{\rm
{\Omega}}(\xi)) $ expansion function method'. This method is based on the exp $(-{\rm …

Dynamics of traveling wave solutions arising in fiber optic communication of some nonlinear models

A Yokus, HM Baskonus - Soft Computing, 2022 - Springer
This article deals with the applications of (1/G′)-expansion method which has recently
been presented to the literature. Applying this tool on the generalized (2+ 1)-dimensional …

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 …