Pfaffian, breather, and hybrid solutions for a (2+ 1)-dimensional generalized nonlinear system in fluid mechanics and plasma physics

CD Cheng, B Tian, YX Ma, TY Zhou, Y Shen - Physics of Fluids, 2022 - pubs.aip.org
Fluid mechanics is seen as the study on the underlying mechanisms of liquids, gases and
plasmas, and the forces on them. In this paper, we investigate a (2+ 1)-dimensional …

Explicit exact solutions and conservation laws in a medium with competing weakly nonlocal nonlinearity and parabolic law nonlinearity

A Souleymanou, A Houwe, AH Kara… - Optical and Quantum …, 2023 - Springer
In this paper, we studied a nonlinear wave equation that models the propagation of optical
solutions in a weakly nonlocal and parabolic competing nonlinear medium. The exact …

[HTML][HTML] W-shaped profile and multiple optical soliton structure of the coupled nonlinear Schrödinger equation with the four-wave mixing term and modulation …

S Abbagari, A Houwe, SY Doka, TB Bouetou, M Inc… - Physics Letters A, 2021 - Elsevier
We investigate diverse optical solitons and other solution for the Coupled Nonlinear
Schrödinger Equation (CNLSE) having Four-Wave Mixing (FWM) and Kerr nonlinearity term …

[HTML][HTML] Analytical solutions of the Predator–Prey model with fractional derivative order via applications of three modified mathematical methods

M Areshi, AR Seadawy, A Ali, AF Alharbi… - Fractal and …, 2023 - mdpi.com
We have investigated wave solutions of the Predator–Prey (PP) model with fractional
derivative order by novel three modified mathematical methods with the help of the …

[HTML][HTML] Analytical survey of the predator–prey model with fractional derivative order

S Abbagari, A Houwe, Y Saliou, D Douvagaï, YM Chu… - AIP Advances, 2021 - pubs.aip.org
This work addresses the analytical investigation of the prey–predator behavior modeled by
nonlinear evolution equation systems with fractional derivative order. Through the New …

Optical dromions for perturbed fractional nonlinear Schrödinger equation with conformable derivatives

STR Rizvi, AR Seadawy, M Younis, N Ahmad… - Optical and Quantum …, 2021 - Springer
This paper retrives hyperbolic, periodic, singular, domain walls, dark-like dromions (solitons)
for perturbed fractional nonlinear Schrödinger equation. We use a quite new technique …

[HTML][HTML] Vector combined cnoidal wave and soliton solutions for a 3D partially nonlocal CNLSE

Y Zhu, J Yang, W Qin, S Wang, J Li - Results in Physics, 2023 - Elsevier
A 3D distributed-coefficient coupled nonlinear Schrödinger equation (CNLSE) with the
partially nonlocal nonlinearity (PNN) for locality in two transverse directions and non-locality …

W-shaped soliton, breather and rogue wave solutions on the elliptic function background in a fifth-order nonlinear Schrödinger equation

FC Fan, WK Xie - Wave Motion, 2024 - Elsevier
In this paper, we investigate a fifth-order nonlinear Schrödinger equation, which can be
applied to describe the propagation of ultrashort pulses in optical fibers. We provide the …

[HTML][HTML] The solitary wave solutions to the Klein–Gordon–Zakharov equations by extended rational methods

SW Yao, SM Zekavatmand, H Rezazadeh, J Vahidi… - AIP Advances, 2021 - pubs.aip.org
In this paper, using the extended rational sine–cosine and rational sinh–cosh methods, we
find new soliton solutions for the Klein–Gordon–Zakharov equations. The extended rational …

[HTML][HTML] Superposition Formulas and Evolution Behaviors of Multi-Solutions to the (3+ 1)-Dimensional Generalized Shallow Water Wave-like Equation

S Bilige, L Cui, X Wang - Mathematics, 2023 - mdpi.com
The superposition formulas of multi-solutions to the (3+ 1)-dimensional generalized shallow
water wave-like Equation (GSWWLE) are proposed. There are arbitrary test functions in the …