Interaction of Solitons for Sine-Gordon-Type Equations | Zendy

Georgii A. Omel’yanov | Zendy; Israel SegundoCaballero | Zendy

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Interaction of Solitons for Sine-Gordon-Type Equations

Author(s) -

Georgii A. Omel’yanov,

Israel SegundoCaballero

Publication year - 2013

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2013/845926

Subject(s) - mathematics , type (biology) , sine , sine gordon equation , soliton , mathematical analysis , traveling wave , mathematical physics , nonlinear system , physics , quantum mechanics , geometry , ecology , biology

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

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