[HTML][HTML] Uncovering diverse soliton solutions in the modified Schrödinger's equation via innovative approaches

C Zhu, M Al-Dossari, NSA El-Gawaad, SAM Alsallami… - Results in Physics, 2023 - Elsevier
The topic of soliton propagation in optical fibers is explored in our research paper, with a
focus on the utilization of the modified nonlinear Schrödinger's equation with perturbation …

Unraveling the dynamic complexity: exploring the (3+ 1)-dimensional conformable mKdV-ZK equation

X Ding, SM Boulaaras, HU Rehman, I Iqbal… - Optical and Quantum …, 2024 - Springer
The primary objective of this article is to construct novel solitary wave solutions for the
nonlinear (3+ 1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation …

Multiple soliton, soliton molecules and the other diverse wave solutions to the (2+ 1)-dimensional Kadomtsev–Petviashvili equation

KJ Wang, F Shi, P Xu - Modern Physics Letters B, 2024 - World Scientific
The central purpose of this paper is to explore the nonlinear dynamics of the (2+ 1)-
dimensional Kadomtsev–Petviashvili equation (KPE). The multiple soliton solutions (MSSs) …

Dynamic frameworks of optical soliton solutions and soliton-like formations to Schrödinger–Hirota equation with parabolic law non-linearity using a highly efficient …

S Kumar, I Hamid, MA Abdou - Optical and Quantum Electronics, 2023 - Springer
The behavior of optical soliton solutions in optical fiber theory is described by the
Schrödinger–Hirota equation, a nonlinear partial differential equation with multiple …

Discovering new abundant optical solutions for the resonant nonlinear Schrödinger equation using an analytical technique

MN Hossain, MM Miah, AH Ganie, MS Osman… - Optical and Quantum …, 2024 - Springer
In our exploration of optical physics, the intricate resonant nonlinear Schrödinger (NLS)
equation featuring dual-power law nonlinearity is investigated which is an equation of …

Bifurcation and exact traveling wave solutions to a conformable nonlinear Schrödinger equation using a generalized double auxiliary equation method

B Gasmi, A Moussa, Y Mati, L Alhakim… - Optical and Quantum …, 2024 - Springer
This paper deals with a nonlinear Schrödinger equation in the sense of conformable
derivative. Bifurcations and phase portraits are first proposed by using bifurcation theory …

[HTML][HTML] Ginzburg–Landau equations involving different effects and their solitary waves

K Hosseini, F Alizadeh, S Kheybari, E Hinçal… - … Differential Equations in …, 2024 - Elsevier
Ginzburg–Landau (GL) equations describe a wide range of phenomena involving
superconductivity, superfluidity, etc. In the present paper, Ginzburg–Landau equations …

Stability analysis and retrieval of new solitary waves of (2+ 1)-and (3+ 1)-dimensional potential Kadomtsev–Petviashvili and B-type Kadomtsev–Petviashvili equations …

FNK Sağlam, S Ahmad - Modern Physics Letters B, 2025 - World Scientific
The Kadomtsev–Petviashvili (KP) equations are nonlinear partial differential equations
which are widely used for the modeling of wave propagation in hydrodynamic and plasma …

Solitons and other wave solutions for nonlinear Schrödinger equation with Kudryashov generalized nonlinearity using the improved modified extended tanh-function …

MS Ahmed, AAS Zaghrout, HM Ahmed - Optical and Quantum Electronics, 2023 - Springer
Many mathematical models describe the optical solitons propagation through optical fibers
such as nonlinear Schrödinger's equation. In this work, we study the generalized derivative …

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 …