Evolution of the compound Gardner-equation soliton in the media with variable parameters

Non-quasistationary evolution of the nearly limiting Gardner-equation solitons, which is caused by the variable parameters of the medium is considered. The proposed approximate description of such a process is based on representing the Gardner-equation solitons as compound formations formed by diffe...

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Bibliographic Details
Published inRadiophysics and quantum electronics Vol. 55; no. 5; pp. 344 - 355
Main Authors Gorshkov, K. A., Soustova, I. A., Ermoshkin, A. V., Zaytseva, N. V.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.10.2012
Springer
Subjects
Astronomy
Astrophysics and Astroparticles
Hadrons
Heavy Ions
Lasers
Mathematical and Computational Physics
Nuclear Physics
Observations and Techniques
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Quantum Optics
Theoretical
Outer Region
Soliton
Solitary Wave
Shock Front
Matched Asymptotic Expansion
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Summary:Non-quasistationary evolution of the nearly limiting Gardner-equation solitons, which is caused by the variable parameters of the medium is considered. The proposed approximate description of such a process is based on representing the Gardner-equation solitons as compound formations formed by different-polarity kinks. The equations describing evolution of both the field drops in the kinks and the slowly varying (compared with the drops) fields connecting the kinks are derived. The problem of the soliton evolution in the case of a linear (in time) change of the cubic nonlinearity coefficient of the Gardner equation is solved analytically. The obtained approximate solution is compared with the results of the previous direct numerical integration of this problem.
ISSN:0033-8443
1573-9120
DOI:10.1007/s11141-012-9373-1