Results 81 to 90 of about 295 (152)

Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
This study examines the optical soliton structure solutions, sensitivity, and modulation stability analysis of the chiral nonlinear Schrödinger equation (NLSE) with Bohm potential, a basic model in nonlinear optics and quantum mechanics. The equation represents wave group dynamics in numerous physical systems, involving quantum Hall and nonlinear ...
Ishrat Bibi, Shah Muhammad, Muhammad Shakeel, Baboucarr Ceesay, Ivan Giorgio   +4 more
wiley   +1 more source

Comparative approaches to solving the (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equations with four-wave mixing [PDF]

This paper extensively studies the propagation of optical solitons within the framework of (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equations.
Arnous, Ahmed H., Bayram, Mustafa, Eldidamony, Hanaa A., Hashemi, Mir Sajjad, Mirzazadeh, Mohammad   +4 more
core   +2 more sources

Exploring Nonlinear Dynamics and Solitary Waves in the Fractional Klein–Gordon Model

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
Various nonlinear evolution equations reveal the inner characteristics of numerous real‐life complex phenomena. Using the extended fractional Riccati expansion method, we investigate optical soliton solutions of the fractional Klein–Gordon equation within this modified framework.
Md. Abde Mannaf, Muktarebatul Jannah, Md. Habibul Bashar, Md. Ekramul Islam, Md. Zuel Rana, Mst. Tania Khatun, Md. Noor-A-Alam Siddiki, Md. Shahinur Islam, Shikha Binwal   +8 more
wiley   +1 more source

Exact wave patterns and chaotic dynamical behaviors of the extended (3+1)-dimensional NLSE [PDF]

In this paper, exact wave propagation patterns and chaotic dynamical behaviors of the extended (3+1)-dimensional nonlinear Schrödinger equation are studied.
Ninghe Yang
core   +1 more source

Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity [PDF]

, 2018
This paper discusses shallow water waves that is modeled with Boussinesq equation that comes with dual dispersion and logarithmic nonlinearity.
Biswas, Anjan, Ekici, Mehmet, Sonmezoglu, Abdullah   +2 more
core   +2 more sources

Novel optical structures for the cubic-quartic nonlinear Schrödinger equation: Analytical and numerical perspectives

Ain Shams Engineering Journal
The current paper uses both analytical and numerical approaches to explore the cubic-quartic nonlinear Schrödinger model governed by the Kerr law. For the analytical analysis, we employ the addendum to Kudryashov's method that yields several intriguing ...
Afrah M. Almalki, A.A. Alshaery, H.O. Bakodah   +2 more
doaj   +1 more source

Investigation of Fractional Behaviors for Physical Phenomena Equation and Ion‐Acoustic Wave Equation via Generalized Bernoulli Equation Method

Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.
This research explores the fractional dynamics of two important nonlinear models: the (2 + 1)‐dimensional breaking soliton equation, which arises in the description of various physical phenomena such as shallow‐water waves, plasma oscillations, and optical solitons, and the (2 + 1)‐dimensional Chaffee–Infante equation, which serves as a fundamental ...
Weerachai Thadee, Pakakrong Tapparak, Panupong Vichitkunakorn, Anak Nongmanee, Sirasrete Phoosree, Higinio Ramos Calle   +5 more
wiley   +1 more source

Travelling wave solutions and conservation laws of the (2+1)-dimensional new generalized Korteweg–de Vries equation

Partial Differential Equations in Applied Mathematics
In this study, we investigate the travelling wave solutions of the (2+1)-dimensional new generalized Korteweg–de Vries equation by employing Lie group analysis along with various techniques which include direct integration, simplest equation method and ...
Boikanyo Pretty Sebogodi, Chaudry Masood Khalique   +1 more
doaj   +1 more source

Dynamics of M-truncated optical solitons and other solutions to the fractional Kudryashov’s equation

Results in Physics
The study of soliton theory plays a crucial role in the telecommunication industry’s utilization of nonlinear optics. The principal area of research in the field of optical solitons revolves around optical fibers, metamaterials, metasurfaces, magneto ...
Usman Younas, Fengping Yao, Naila Nasreen, Aziz Khan, Thabet Abdeljawad   +4 more
doaj   +1 more source

Unveiling the Dynamics of Nonlinear Landau-Ginzburg-Higgs (LGH) Equation: Wave Structures through Multiple Auxiliary Equation Methods

Journal of New Theory
This comprehensive investigation delves deeply into the intricate dynamics governed by the nonlinear Landau-Ginzburg-Higgs equation. It uncovers a diversity of semi-analytical solutions by leveraging three auxiliary equation methods within the traveling ...
Şerife Müge Ege
doaj   +1 more source