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 …

Stability Analysis, Modulation Instability, and Beta-Time Fractional Exact Soliton Solutions to the Van der Waals Equation.

H Qawaqneh, J Manafian, M Alharthi… - Mathematics (2227 …, 2024 - search.ebscohost.com
The study consists of the distinct types of the exact soliton solutions to an important model
called the beta-time fractional (1+ 1)-dimensional non-linear Van der Waals equation. This …

Exact solutions of the (3+ 1)-generalized fractional nonlinear wave equation with gas bubbles

AR Seadawy, A Ali, A Altalbe, A Bekir - Scientific Reports, 2024 - nature.com
In this manuscript, we implement the travelling wave solutions of the fractional (3+ 1)
generalized computational nonlinear wave equation with gas bubbles via application of five …

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 …

On Multiple-Type Wave Solutions for the Nonlinear Coupled Time-Fractional Schrödinger Model

PO Mohammed, RP Agarwal, I Brevik, M Abdelwahed… - Symmetry, 2024 - mdpi.com
Recently, nonlinear fractional models have become increasingly important for describing
phenomena occurring in science and engineering fields, especially those including …

New soliton solutions of M-fractional Westervelt model in ultrasound imaging via two analytical techniques

H Qawaqneh, A Zafar, M Raheel, AA Zaagan… - Optical and Quantum …, 2024 - Springer
This research paper is about the ultrasound propagation, which propagates the mechanical
vibration of the molecules or of the particles of a material. It measures the speed of sound in …

Dispersive soliton solutions to the (4+ 1)-dimensional Boiti–Leon–Manna–Pempinelli equation via an analytical method

J Ahmad, S Rani, T Muhammad… - Optical and Quantum …, 2024 - Springer
The primary objective of this study is to extract nonlinear wave patterns from the (4+ 1)-
dimensional Boiti–Leon–Manna–Pempinelli (4D-BLMP) equation, considering both constant …

Analytic wave solutions to the beta-time fractional modified equal width equation based on two efficient approaches

A Zafar, M Raheel, M Jamal, I Siddique… - Optical and Quantum …, 2024 - Springer
By using the two distinct methods known as the exp (-ϕ (η)) and the E xpa-function methods,
various forms of soliton solutions of the modified equal width wave equation (MEWE) with …

[HTML][HTML] Dynamic nature of analytical soliton solutions of the nonlinear ZKBBM and GZKBBM equations

A Hussain, FD Zaman, H Ali - Partial Differential Equations in Applied …, 2024 - Elsevier
A solitary wave, characterized as a localized perturbation in a medium, emerges as a result
of a delicate equilibrium between nonlinear and dispersive phenomena. Solitons, a subtype …

Interaction between soliton and periodic solutions and the stability analysis to the Gilson–Pickering equation by bilinear method and -function approach …

J Cheng, J Manafian, G Singh, A Yadav… - Optical and Quantum …, 2024 - Springer
Abstract The Gilson–Pickering equation, which describes wave propagation in plasma
physics and the structure of crystal lattice theory that is most frequently used. The discussed …