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 …

[HTML][HTML] Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method

M Bilal, J Iqbal, K Shah, B Abdalla… - … Differential Equations in …, 2024 - Elsevier
The study of soliton solutions for Nonlinear Fractional Partial Differential Equations
(NFPDEs) has gained prominence recently because of its ability to realistically recreate …

Construction of diverse water wave structures for coupled nonlinear fractional Drinfel'd-Sokolov-Wilson model with Beta derivative and its modulus instability

M Shakeel, SA AlQahtani, MJU Rehman, G Kudra… - Scientific Reports, 2023 - nature.com
This paper aims to analyze the coupled nonlinear fractional Drinfel'd-Sokolov-Wilson
(FDSW) model with beta derivative. The nonlinear FDSW equation plays an important role in …

Additional solitonic and other analytical solutions for the higher-order Boussinesq-Burgers equation

AM Mubaraki, RI Nuruddeen, KK Ali… - Optical and Quantum …, 2024 - Springer
Due to the lack of abundant literature with regard to the exact analytical solutions for the new
higher-order Boussinesq-Burgers equations (HOBBE); of course, with the exception of a few …

Dynamics study of stability analysis, sensitivity insights and precise soliton solutions of the nonlinear (STO)-Burger equation

E Hussain, Z Li, SAA Shah, EA Az-Zo'bi… - Optical and Quantum …, 2023 - Springer
The purpose of this manuscript is to investigate the precise soliton solution of the (1+ 1)-
dimensional Sharma–Tasso–Olver–Burgers equation. This study thoroughly explores the …

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 …

Optical solitons, dynamics of bifurcation, and chaos in the generalized integrable (2+ 1)-dimensional nonlinear conformable Schrödinger equations using a new …

MAS Murad, FM Omar - Journal of Computational and Applied Mathematics, 2025 - Elsevier
In the present paper, the new Kudryashov approach is utilized to construct several novel
optical soliton solutions for the generalized integrable (2+ 1)-dimensional nonlinear …

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 …

An enormous diversity of fractional-soliton solutions with sensitive prodigy to the –Dodd–Bullough equation

H Ahmad, M Qousini, RU Rahman - Optical and Quantum Electronics, 2024 - Springer
The central objective of this study is to explore the dynamic response of fractional-soliton
solutions within a nonlinear T zitze´ ica–Dodd–Bullough (TDB) equation enhancing the long …

A variety of optical wave solutions to space–time fractional perturbed Kundu–Eckhaus model with full non-linearity

A Zafar, M Raheel, KU Tariq, AM Mahnashi… - Optical and Quantum …, 2024 - Springer
In this paper, the new optical wave solutions of truncated M-fractional perturbed Kundu–
Eckhaus model with full non-linearity are obtained by utilizing the exp a function technique …