Kink-antikink interaction for semilinear wave equations with a small parameter

Martin G. Garcia; Georgii A. Omel'yanov

Kink-antikink interaction for semilinear wave equations with a small parameter

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Resumen

We consider a class of semi-linear wave equations with a small parameter and nonlinearities which provide the equations having exact kink- type solutions. As a main result we to obtain sufficient conditions for the nonlinearities under which the kink-antikink collision occurs without changing the waves shape and with only some shifts of the solitary wave trajectories.

Idioma original	Inglés
Páginas (desde-hasta)	1-26
Número de páginas	26
Publicación	Electronic Journal of Differential Equations
Volumen	2009
Estado	Publicada - 2 ene. 2009

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abstract = "We consider a class of semi-linear wave equations with a small parameter and nonlinearities which provide the equations having exact kink- type solutions. As a main result we to obtain sufficient conditions for the nonlinearities under which the kink-antikink collision occurs without changing the waves shape and with only some shifts of the solitary wave trajectories.",

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AU - Omel'yanov, Georgii A.

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N2 - We consider a class of semi-linear wave equations with a small parameter and nonlinearities which provide the equations having exact kink- type solutions. As a main result we to obtain sufficient conditions for the nonlinearities under which the kink-antikink collision occurs without changing the waves shape and with only some shifts of the solitary wave trajectories.

AB - We consider a class of semi-linear wave equations with a small parameter and nonlinearities which provide the equations having exact kink- type solutions. As a main result we to obtain sufficient conditions for the nonlinearities under which the kink-antikink collision occurs without changing the waves shape and with only some shifts of the solitary wave trajectories.

UR - https://www.scopus.com/pages/publications/65749107023

M3 - Artículo

SN - 1072-6691

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JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

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Kink-antikink interaction for semilinear wave equations with a small parameter

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