Interaction of Solitons for Sine-Gordon-Type Equations
Joint Authors
Omel'yanov, Georgy A.
Segundo-Caballero, Israel
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The subject of our consideration is a family of semilinear wave equations with a small parameter and nonlinearities which provide the existence of kink-type solutions (solitons).
Using asymptotic analysis and numerical simulation, we demonstrate that solitons of the same type (kinks or antikinks) interact in the same manner as for the sine-Gordon equation.
However, solitons of the different type preserve the shape after the interaction only in the case of two or three waves, and, moreover, under some additional conditions.
American Psychological Association (APA)
Omel'yanov, Georgy A.& Segundo-Caballero, Israel. 2013. Interaction of Solitons for Sine-Gordon-Type Equations. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-502841
Modern Language Association (MLA)
Omel'yanov, Georgy A.& Segundo-Caballero, Israel. Interaction of Solitons for Sine-Gordon-Type Equations. Journal of Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-502841
American Medical Association (AMA)
Omel'yanov, Georgy A.& Segundo-Caballero, Israel. Interaction of Solitons for Sine-Gordon-Type Equations. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-502841
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502841