Work

Ginzburg–Landau equations involving different effects and their solitary waves

Year: 2024

Type: article

Abstract: Ginzburg–Landau (GL) equations describe a wide range of phenomena involving superconductivity , superfluidity , etc. In the present paper, Ginzburg–Landau equations involving distinct laws are considered, and as a consequence, their solitary waves in the presence of perturbation terms are formally derived using the Kudryashov method. The effect of Kerr and parabolic laws on the dynamics of solitary waves is examined in detail. The outcomes of the current paper present suitable ways to control the width and amplitude of solitary waves. The authors believe that the results reported in the current study will contribute significantly to studies related to Ginzburg–Landau equations with distinct laws.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100987

Authors: K. Hosseini, F. Alizadeh, S. Kheybari, E. Hinçal, B. Kaymakamzade, M.S. Osman

Institutions: Lebanese American University, Near East University, University of Kyrenia, Cairo University, Umm al-Qura University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

OpenAlex ID: W4404298009

FWCI: 1.183

Cites: 38

Cited by: 8

Related to: 10