Geodesic
Asymptotics of Kink--Kink Interaction for Sine-Gordon Type Equations
Matematičeskie zametki, Tome 75 (2004) no. 4, pp. 603-607

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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. 
@article{MZM_2004_75_4_a8,
     author = {G. A. Omel'yanov and D. A. Kulagin},
     title = {Asymptotics of {Kink--Kink} {Interaction} for {Sine-Gordon} {Type} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {603--607},
     publisher = {mathdoc},
     volume = {75},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_4_a8/}
}
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G. A. Omel'yanov; D. A. Kulagin. Asymptotics of Kink--Kink Interaction for Sine-Gordon Type Equations. Matematičeskie zametki, Tome 75 (2004) no. 4, pp. 603-607. http://geodesic.mathdoc.fr/item/MZM_2004_75_4_a8/