Wave propagation behavior in nonlinear media and resonant nonlinear interactions

The nonlinear Landau–Ginsberg–Higgs model, which depicts wave propagation in nonlinear media with a scattering system, classifies wave velocities, and effectively generates real events, is examined in this article. We use the recently enhanced couple of rising procedures to extract the important, ap...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation Vol. 108; p. 106242
Main Authors: Islam, M. Nurul, İlhan, Onur Alp, Akbar, M. Ali, Benli, Fatma Berna, Soybaş, Danyal
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.05.2022
Elsevier Science Ltd
Subjects:
Landau–Ginzburg–Higgs model
Nonlinear equations
Nonlinear evolution equation
Nonlinear evolution equations
Solitary waves
Soliton
The auxiliary equation approach
Traveling waves
Trigonometric functions
Velocity
Wave propagation
Wave velocity
Waveform analysis
The auxiliary equation approach
76B25
Landau–Ginzburg–Higgs model
Soliton
Nonlinear evolution equation
35Q53
35C08
35K99
ISSN:1007-5704, 1878-7274
Online Access:Get full text
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Summary:The nonlinear Landau–Ginsberg–Higgs model, which depicts wave propagation in nonlinear media with a scattering system, classifies wave velocities, and effectively generates real events, is examined in this article. We use the recently enhanced couple of rising procedures to extract the important, applicable, and further general solitary wave solutions to the formerly stated nonlinear wave model via the complex traveling wave transformation. The solitons are constructed in terms of hyperbolic, exponential, rational, and trigonometric functions as well as their integration. The physical implications of the extracted wave solutions for the specific values of the resultant parameters are illustrated graphically, and the internal structure of the connected physical phenomena is analyzed using the Wolfram Mathematica program. This study shows that the method utilized is effective and may be used to find appropriate closed-form solitary solitons to a variety of nonlinear evolution equations (NLEEs). •We have studied the nonlinear Landau-Ginzburg-Higgs model.•The constructed solitons are the form likely, hyperbolic, exponential, rational, and trigonometric functions.•This research can assist to ascertain useful closed-form solitary solutions to a variety of nonlinear evolution equations.•we obtain the complex propagated wave transform.•We also obtain general solitary wave solutions in addition to the previously mentioned nonlinear wave model.
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ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2021.106242