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This article is cited in 3 scientific papers (total in 3 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.
DOI:
https://doi.org/10.4213/mzm55
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English version:
Mathematical Notes, 2004, 75:4, 563–567
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UDC:
517.95
Received: 25.12.2002
Citation:
G. A. Omel'yanov, D. A. Kulagin, “Asymptotics of Kink–Kink Interaction for Sine-Gordon Type Equations”, Mat. Zametki, 75:4 (2004), 603–607; Math. Notes, 75:4 (2004), 563–567
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz55https://doi.org/10.4213/mzm55 http://mi.mathnet.ru/eng/mz/v75/i4/p603
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This publication is cited in the following articles:
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Espinoza R. F., Omel'yanov G. A., “Construction of uniform in time asymptotics for interaction of shock waves in gas dynamics”, Integral Transforms Spec. Funct., 17:2-3 (2006), 171–176
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Mohammadi M., Riazi N., Azizi A., “Radiative Properties of Kinks in the Sin(4)(Phi) System”, Prog. Theor. Phys., 128:4 (2012), 615–627
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Mohammadi M., Riazi N., “Bi-Dimensional Soliton-Like Solutions of the Nonlinear Complex sine-Gordon System”, Prog. Theor. Exp. Phys., 2014, no. 2, 023A03
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