Optical solitons with dispersive concatenation model having multiplicative white noise by the enhanced direct algebraic method

AH Arnous, A Biswas, Y Yildirim… - Contemporary …, 2024 - ojs.wiserpub.com
This paper investigates the significance of the dispersive concatenation model,
incorporating the Kerr law of self-phase modulation in the presence of white noise. Our …

[HTML][HTML] The positive multi-complexiton solution to a generalized Kadomtsev–Petviashvili equation

K Hosseini, E Hincal, K Sadri, F Rabiei, M Ilie… - … Differential Equations in …, 2024 - Elsevier
Abstract Recently, Lin et al.(Appl. Math. Lett. 78 (2018) 112–117) established the resonant
multiple-wave solution of a generalized Kadomtsev–Petviashvili (gKP) equation with …

Bifurcation analysis, sensitivity analysis, and Jacobi elliptic function structures to a generalized nonlinear Schrödinger equation

K Hosseini, E Hinçal, F Alizadeh, D Baleanu… - International Journal of …, 2024 - Springer
The present paper provides an investigation into the propagation of soliton waves for a
generalized nonlinear Schrödinger (gNLS) equation. To this end, the bifurcation analysis …

Solitonic wave Structures and Stablility Analysis for the M-fractional Generalized Coupled Nonlinear SchröDinger-KdV Equations

T Mathanaranjan, S Tharsana, G Dilakshi - International Journal of Applied …, 2024 - Springer
The M-fractional generalized coupled nonlinear Schrödinger-Korteweg–de Vries (NLS-KdV)
equations which arise as an equation for the interaction between long and short nonlinear …

The optical structures for the fractional chiral nonlinear Schrödinger equation with time-dependent coefficients

WW Mohammed, N Iqbal, S Bourazza… - Optical and Quantum …, 2024 - Springer
In this paper, the fractional Chiral nonlinear Schrödinger equation with time-dependent
coefficients (FCNSE-TDCs) is considered. The map** method is applied in order to get …

A generalized nonlinear Schrödinger equation with logarithmic nonlinearity and its Gaussian solitary wave

K Hosseini, F Alizadeh, E Hinçal… - Optical and Quantum …, 2024 - Springer
In the current paper, a generalized nonlinear Schrödinger (gNLS) equation with logarithmic
nonlinearity is studied as a model for the propagation of optical pulses. More precisely, after …

Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas …

F Alizadeh, K Hosseini, S Sirisubtawee… - Boundary Value …, 2024 - Springer
The current paper undertakes an in-depth exploration of the dynamics of nonlinear waves
governed by a 3D-modified nonlinear wave equation, a significant model in the study of …

Study on the fractional Sasa–Satsuma equation of optical solitons in optical fibers and telecommunications

T Shafique, M Abbas, YS Hamed, MK Iqbal… - Optical and Quantum …, 2024 - Springer
This paper applies the extended direct algebraic method (EDAM) for the first time to obtain
the soliton solutions of the fractional Sasa–Satsuma equation (FSSE) with the descriptions of …

[HTML][HTML] New improvement of the ϕ6-model expansion method and its applications to the new (3+ 1)-dimensional integrable Kadomtsev–Petviashvili equation

AT Ali, B Al-Khamaiseh, AH Alkasasbeh - Partial Differential Equations in …, 2024 - Elsevier
In this paper, an improvement for the ϕ 6-model expansion method is presented. In this
approach, contrary to the classical ϕ 6-model expansion method, obtaining explicit solutions …

[PDF][PDF] Exploring analytical results for (2+ 1) dimensional breaking soliton equation and stochastic fractional Broer-Kaup system

FL Hasan, MA Abdoon, R Saadeh, A Qazza… - AIMS …, 2024 - researchgate.net
Exploring analytical results for (2+1) dimensional breaking soliton equation and stochastic
fractional Broer-Kaup system Page 1 AIMS Mathematics, 9(5): 11622−11643. DOI: 10.3934/math.2024570 …