[HTML][HTML] Soliton solutions of Klein–Fock–Gordon equation using Sardar subequation method

HU Rehman, I Iqbal, S Subhi Aiadi, N Mlaiki… - Mathematics, 2022 - mdpi.com
The Klein–Fock–Gordon equation (KFGE), defined as the equation of relativistic wave
related to NLEEs, has numerous implications for energy particle physics and is useful as a …

New optical solitons based on the perturbed Chen-Lee-Liu model through Jacobi elliptic function method

S Tarla, KK Ali, R Yilmazer, MS Osman - Optical and Quantum Electronics, 2022 - Springer
In this study, we investigate the perturbed Chen-Lee-Liu equation that represents the
propagation of an optical pulse in plasma and optical fiber. The Jacobi elliptic function …

The dynamic behaviors of the Radhakrishnan–Kundu–Lakshmanan equation by Jacobi elliptic function expansion technique

S Tarla, KK Ali, R Yilmazer, MS Osman - Optical and Quantum Electronics, 2022 - Springer
In this study, we express the Radhakrishnan–Kundu–Lakshmanan equation with an
arbitrary index of n∈ Q. We investigated the solitary wave solutions of the Radhakrishnan …

Cubic-quartic embedded solitons with χ (2) and χ (3) nonlinear susceptibilities having multiplicative white noise via Itô calculus

EME Zayed, MEM Alngar, RMA Shohib - Chaos, Solitons & Fractals, 2023 - Elsevier
The objective of this paper is to study the cubic-quartic embedded solitons with χ (2) and χ
(3) nonlinear susceptibilities having multiplicative white noise in the Itô sense. The unified …

Symmetry analysis, closed-form invariant solutions and dynamical wave structures of the Benney-Luke equation using optimal system of Lie subalgebras

A Hussain, M Usman, FD Zaman, TF Ibrahim… - Chinese Journal of …, 2023 - Elsevier
Nonlinear evolution equations (NLE-Es) arise in a variety of domains, including fluid
dynamics, biological sciences, the study of solid states, optical fibres, coastal engineering …

Investigation of solitons structures for nonlinear ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical equations

M Iqbal, D Lu, AR Seadawy, M Ashraf… - Optical and Quantum …, 2024 - Springer
In this work, we analysis the novel behavior of solitons to the nonlinear evolution equations
describing the ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical …

Exotical solitons for an intrinsic fractional circuit using the sine-cosine method

E Fendzi-Donfack, GWK Temgoua, ZI Djoufack… - Chaos, Solitons & …, 2022 - Elsevier
This work focuses on seeking soliton solutions for an intrinsic fractional discrete nonlinear
electrical transmission network obtained through the simplest sine-cosine method. The …

[HTML][HTML] Optical solitons to the fractional order nonlinear complex model for wave packet envelope

Z Islam, A Abdeljabbar, MAN Sheikh, MA Taher - Results in Physics, 2022 - Elsevier
This research deals with the fractional order nonlinear complex model, which is a general
form of nonlinear Schrodinger equation. This model demonstrates boson gas among 2 as …

[HTML][HTML] Simple equations method (SEsM): Algorithm, connection with Hirota method, inverse scattering transform method, and several other methods

NK Vitanov, ZI Dimitrova, KN Vitanov - Entropy, 2020 - mdpi.com
The goal of this article is to discuss the Simple Equations Method (SEsM) for obtaining exact
solutions of nonlinear partial differential equations and to show that several well-known …

[HTML][HTML] Modified exp-function method to find exact solutions of microtubules nonlinear dynamics models

M Shakeel, Attaullah, NA Shah, JD Chung - Symmetry, 2023 - mdpi.com
In this paper, we use the modified exp− ψ θ-function method to observe some of the solitary
wave solutions for the microtubules (MTs). By treating the issues as nonlinear model partial …