Interaction of kinks for semilinear wave equations with a small parameter

D. A. Kulagin; G. A. Omel'yanov

doi:10.1016/j.na.2005.06.015

Interaction of kinks for semilinear wave equations with a small parameter

D. A. Kulagin^*, G. A. Omel'yanov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We consider a class of semilinear wave equations with a small parameter and nonlinearities such that the equations have exact kink-type solutions. The main result consists in obtaining sufficient conditions for the nonlinearities under which the interaction of kinks preserves the sine-Gordon scenario. This means that the interaction occurs without changing the waves shape and with shifts of trajectories.

Original language	English
Pages (from-to)	347-378
Number of pages	32
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	65
Issue number	2
DOIs	https://doi.org/10.1016/j.na.2005.06.015
State	Published - 15 Jul 2006

Bibliographical note

Funding Information:
The research was partially supported by SEP-CONACYT (Mexico) under Grant 41421 F.

Keywords

Asymptotics
Interaction
Kinks
Semilinear wave equations
Weak asymptotics method

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10.1016/j.na.2005.06.015

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title = "Interaction of kinks for semilinear wave equations with a small parameter",

abstract = "We consider a class of semilinear wave equations with a small parameter and nonlinearities such that the equations have exact kink-type solutions. The main result consists in obtaining sufficient conditions for the nonlinearities under which the interaction of kinks preserves the sine-Gordon scenario. This means that the interaction occurs without changing the waves shape and with shifts of trajectories.",

keywords = "Asymptotics, Interaction, Kinks, Semilinear wave equations, Weak asymptotics method",

author = "Kulagin, {D. A.} and Omel'yanov, {G. A.}",

note = "Funding Information: The research was partially supported by SEP-CONACYT (Mexico) under Grant 41421 F. ",

year = "2006",

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T1 - Interaction of kinks for semilinear wave equations with a small parameter

AU - Kulagin, D. A.

AU - Omel'yanov, G. A.

N1 - Funding Information: The research was partially supported by SEP-CONACYT (Mexico) under Grant 41421 F.

PY - 2006/7/15

Y1 - 2006/7/15

N2 - We consider a class of semilinear wave equations with a small parameter and nonlinearities such that the equations have exact kink-type solutions. The main result consists in obtaining sufficient conditions for the nonlinearities under which the interaction of kinks preserves the sine-Gordon scenario. This means that the interaction occurs without changing the waves shape and with shifts of trajectories.

AB - We consider a class of semilinear wave equations with a small parameter and nonlinearities such that the equations have exact kink-type solutions. The main result consists in obtaining sufficient conditions for the nonlinearities under which the interaction of kinks preserves the sine-Gordon scenario. This means that the interaction occurs without changing the waves shape and with shifts of trajectories.

KW - Asymptotics

KW - Interaction

KW - Kinks

KW - Semilinear wave equations

KW - Weak asymptotics method

UR - http://www.scopus.com/inward/record.url?scp=33646594447&partnerID=8YFLogxK

U2 - 10.1016/j.na.2005.06.015

DO - 10.1016/j.na.2005.06.015

M3 - Artículo

SN - 0362-546X

VL - 65

SP - 347

EP - 378

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 2

ER -

Interaction of kinks for semilinear wave equations with a small parameter

Abstract

Bibliographical note

Keywords

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