Structure and properties of four-kink multisolitons of the sine-Gordon equation

Structure and properties of four-kink multisolitons of the sine-Gordon equation

The dynamics of nonlinear waves of the sine-Gordon equation with a spatially modulated periodic potential are studied using analytical and numerical methods. The structure and properties of four-kink multisolitons excited on two identical attracting impurities are determined. For small-amplitude osc...

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Veröffentlicht in:Computational mathematics and mathematical physics 2014-03, Vol.54 (3), p.491-504
Hauptverfasser: Gumerov, A. M., Ekomasov, E. G., Zakir’yanov, F. K., Kudryavtsev, R. V.
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Computational mathematics
Computational Mathematics and Numerical Analysis
Dynamic tests
Impurities
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Nonlinearity
Numerical analysis
Oscillations
Physics
Studies
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Beschreibung
Zusammenfassung:The dynamics of nonlinear waves of the sine-Gordon equation with a spatially modulated periodic potential are studied using analytical and numerical methods. The structure and properties of four-kink multisolitons excited on two identical attracting impurities are determined. For small-amplitude oscillations, an analytical spectrum of the oscillations is obtained, which is in qualitatively agreement with the numerical results.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542514030075