Peculiar optical solitons and modulated waves patterns in anti-cubic nonlinear media with cubic–quintic nonlinearity

A Houwe, S Abbagari, L Akinyemi… - Optical and Quantum …, 2023 - Springer
In this work, we investigate diverse analytical solutions and modulation instability of the
nonlinear Schrödinger equation with an anti-cubic nonlinear term. We use the traveling …

Abundant solitary wave solutions to an extended nonlinear Schrödinger's equation with conformable derivative using an efficient integration method

B Ghanbari, KS Nisar, M Aldhaifallah - Advances in Difference Equations, 2020 - Springer
The prevalence of the use of mathematical software has dramatically influenced the
evolution of differential equations. The use of these useful tools leads to faster advances in …

Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative

B Ghanbari - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
The paper aims to employ a new effective methodology to build exact fractional solutions to
the generalized nonlinear Schrödinger equation with a local fractional operator defined on …

[HTML][HTML] Applications of two novel techniques in finding optical soliton solutions of modified nonlinear Schrödinger equations

B Ghanbari, D Baleanu - Results in Physics, 2023 - Elsevier
Finding optical soliton solutions to nonlinear partial differential equations has become a
popular topic in recent decades. The primary goal of this study is to identify a diverse …

On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique

B Ghanbari - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
One of the most interesting branches of fractional calculus is the local fractional calculus,
which has been used successfully to describe many fractal problems in science and …

Horizontal stratification of fluids and the behavior of long waves

MMA Khater - The European Physical Journal Plus, 2023 - Springer
This study employs contemporary and precise computational techniques to obtain
innovative solitary wave solutions for the (3+ 1)-dimensional Kadomtsev-Petviashvili (KP) …

New exact solitary wave solutions of the strain wave equation in microstructured solids via the generalized exponential rational function method

S Kumar, A Kumar, AM Wazwaz - The European Physical Journal Plus, 2020 - Springer
In this article, we utilize the generalized exponential rational function method and obtain
exact solitary wave solutions in various forms of the strain wave equation. Abundant exact …

[PDF][PDF] Dynamic nature of analytical soliton solutions of the (1+ 1)-dimensional Mikhailov-Novikov-Wang equation using the unified approach

A Kumar, S Kumar - … Journal of Mathematics and Computer in …, 2023 - sciendo.com
In this work, we investigate the dynamical study of the (1+ 1)-dimensional Mikhailov-Novikov-
Wang (MNW) equation via the unified method. This technique is used to obtain the soliton …

[HTML][HTML] Analytical study of nonlinear models using a modified Schrödinger's equation and logarithmic transformation

C Zhu, SA Idris, MEM Abdalla, S Rezapour, S Shateyi… - Results in Physics, 2023 - Elsevier
Optical solitons are special waves that maintain their shape while traveling. Hence, solitary
optical waves have great significance when it comes to representing pulse propagation …

On the solitary wave solutions and physical characterization of gas diffusion in a homogeneous medium via some efficient techniques

M Khater, B Ghanbari - The European Physical Journal Plus, 2021 - Springer
This paper aims to determine some novel solitary wave solutions of the Chaffee–Infante
equation, which have not yet been presented for this equation. This equation arises in …