TY - JOUR
T1 - Interaction of solitons for sine-gordon-type equations
AU - Omel'yanov, Georgii A.
AU - Segundo-Caballero, Israel
N1 - Publisher Copyright:
© 2013 Georgii A. Omel'yanov and Israel Segundo-Caballero.
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85014204821&partnerID=8YFLogxK
U2 - 10.1155/2013/845926
DO - 10.1155/2013/845926
M3 - Artículo
SN - 2314-4629
VL - 2013
JO - Journal of Mathematics
JF - Journal of Mathematics
M1 - 845926
ER -