Formation of optical soliton wave profiles of Shynaray-IIA equation via two improved techniques: a comparative study

WA Faridi, GH Tipu, Z Myrzakulova… - Optical and Quantum …, 2024 - Springer
This study employs the new extended direct algebraic method and improved sardar sub-
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …

[HTML][HTML] Analysis of a conformable generalized geophysical KdV equation with Coriolis effect

S Saifullah, N Fatima, SAM Abdelmohsen… - Alexandria Engineering …, 2023 - Elsevier
In this manuscript, we study new solutions of generalized version of geophysical KdV
equation which is called generalized perturbed KdV (gpKdV) under time–space …

New analytical and numerical solutions to the (2+ 1)-dimensional conformable cpKP–BKP equation arising in fluid dynamics, plasma physics, and nonlinear optics

M Şenol, M Gençyiğit, ME Koksal, S Qureshi - Optical and Quantum …, 2024 - Springer
Abstract This study investigates the (2+ 1)-dimensional conformable combined potential
Kadomtsev–Petviashvili-B-type Kadomtsev–Petviashvili (cpKP–BKP) equation. It is a linear …

Study the dynamic behavior of bifurcation, chaos, time series analysis and soliton solutions to a Hirota model

S Javed, A Ali, J Ahmad, R Hussain - Optical and Quantum Electronics, 2023 - Springer
The unified technique is a direct method that is employed in this study to extract a wide
range of accurate solutions of the (2+ 1)-dimensional Hirota model. The governing model is …

Bifurcation and exact traveling wave solutions to a conformable nonlinear Schrödinger equation using a generalized double auxiliary equation method

B Gasmi, A Moussa, Y Mati, L Alhakim… - Optical and Quantum …, 2024 - Springer
This paper deals with a nonlinear Schrödinger equation in the sense of conformable
derivative. Bifurcations and phase portraits are first proposed by using bifurcation theory …

New approach for hybrid electromagnetic phase of hybrid optical fibers

T Körpinar, Z Körpinar - Waves in Random and Complex Media, 2023 - Taylor & Francis
In this article, we construct optical hybrid magnetic surfaces of T-magnetic optical fibers by
using hybrid tangent electromagnetic flow T-density with a hybrid frame. Also, we obtain new …

Existence and Ulam–Hyers stability results for a system of coupled generalized Liouville–Caputo fractional Langevin equations with multipoint boundary conditions

M Awadalla, M Subramanian, K Abuasbeh - Symmetry, 2023 - mdpi.com
We study the existence and uniqueness of solutions for coupled Langevin differential
equations of fractional order with multipoint boundary conditions involving generalized …

A comparative study of two fractional nonlinear optical model via modified G′ G 2-expansion method

A Saboor, M Shakeel, X Liu, A Zafar… - Optical and Quantum …, 2024 - Springer
This article reveals the different types of optical solitons of non-linear coupled Riemann
wave equation and Wazwaz Kaur Boussinesq equation. We adopted a direct integration …

The analytical study of soliton dynamics in fractional coupled Higgs system using the generalized Khater method

R Ali, Z Zhang, H Ahmad, MM Alam - Optical and Quantum Electronics, 2024 - Springer
This study introduces the generalized Khater Method (gKM) as a tool for investigating the
existence and dynamics of soliton solutions within the realm of the Fractional Coupled Higgs …

[HTML][HTML] Existence and uniqueness solution analysis of time-fractional unstable nonlinear Schrödinger equation

MA Khatun, MA Arefin, MA Akbar, MH Uddin - Results in Physics, 2024 - Elsevier
The time-fractional unstable nonlinear Schrödinger (NLS) equations capture the time
evolution of disturbances within media, tailored for describing phenomena in unstable …