This article is cited in 5 papers

Asymptotics of Kink–Kink Interaction for Sine-Gordon Type Equations

G. A. Omel'yanov, D. A. Kulagin

Moscow State Institute of Electronics and Mathematics

Abstract: We consider a class of semilinear wave equations with a small parameter $\varepsilon$. The nonlinearity of $F(u)$ is assumed to be such that the corresponding equation has an exact self-similar solution of kink type. For $F(u)$, we obtain sufficient conditions for two kinks to interact (in the sense of the leading term of the asymptotics with respect to $\varepsilon$) in the same way as the kinks of the sine-Gordon equation.

UDC: 517.95

Received: 25.12.2002

DOI: 10.4213/mzm55

 English version: Mathematical Notes, 2004, 75:4, 563–567

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