The extended direct algebraic method for extracting analytical solitons solutions to the cubic nonlinear Schrödinger equation involving beta derivatives in space and …

F Tasnim, MA Akbar, MS Osman - Fractal and Fractional, 2023 - mdpi.com
In the field of nonlinear optics, quantum mechanics, condensed matter physics, and wave
propagation in rigid and other nonlinear instability phenomena, the nonlinear Schrödinger …

New perspective on fractional Hamiltonian amplitude equation

KL Wang - Optical and Quantum Electronics, 2023 - Springer
In this paper, we present a pioneering investigation on the fractional Hamiltonian amplitude
equation involving the beta fractional derivative for the first time, addressing a research gap …

Dynamical behaviours and fractional alphabetical-exotic solitons in a coupled nonlinear electrical transmission lattice including wave obliqueness

E Fendzi-Donfack, E Tala-Tebue, M Inc… - Optical and Quantum …, 2023 - Springer
We investigate through the ansatz and auxiliary equation methods novel types of solitary
wave solutions for (2+ 1)-D coupled nonlinear electrical transmission lattice with wave …

Extended Fan's sub-ODE technique and its application to a fractional nonlinear coupled network including multicomponents—LC blocks

E Fendzi-Donfack, A Kenfack-Jiotsa - Chaos, Solitons & Fractals, 2023 - Elsevier
The present work deal with the improved Fan's sub-ordinary differential equation (ODE)
method and peruse abundant soliton solutions for a fractional nonlinear coupled network …

Novel solitary wave and periodic solutions for the nonlinear Kaup–Newell equation in optical fibers

KL Wang - Optical and Quantum Electronics, 2024 - Springer
The primary objective of this study is to examine the behavior of the nonlinear Kaup-Newell
equation. By employing the modified Kudryashov method and extended tanh function …

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 …

[HTML][HTML] Construction of abundant solitons in a coupled nonlinear pendulum lattice through two discrete distinct techniques

E Fendzi-Donfack, M Baduidana, F Fotsa-Ngaffo… - Results in Physics, 2023 - Elsevier
In this paper, we deal with two distinct discrete techniques named the discrete Tanh method
and the differential-difference Jacobi elliptic functions sub-ODE method to extract abundant …

Implementation of optical soliton behavior of the space–time conformable fractional Vakhnenko–Parkes equation and its modified model

SM Mabrouk, H Rezazadeh, H Ahmad… - Optical and Quantum …, 2024 - Springer
Fractional differential equations are being used to define numerous physical phenomena
instead of conventional ordinary or partial differential equations. The secret is to get more …

Different solutions to the conformable generalized -dimensional Camassa–Holm–Kadomtsev–Petviashvili equation arising in shallow-water waves

M Şenol, M Gençyiğit, S Sarwar - International Journal of Geometric …, 2023 - World Scientific
This paper employed the exp (− φ (ξ))-expansion, Riccati equation,(G′/G)-expansion, and
modified Kudryashov methods to find new exact solution sets for the conformable …

Dynamical behavior of the fractional generalized nonlinear Schrödinger equation of third-order

AI Ahmed, MS Algolam, C Cesarano, D Rizk… - Optical and Quantum …, 2024 - Springer
The generalized nonlinear Schrödinger equation with M-truncated derivatives (GNLSE-
MTD) is studied here. By using generalized Riccati equation and mapping methods, new …