Geodesic
Kink asymptotics of the perturbed sine-Gordon equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 39-48 
O. M. Kiselev. Kink asymptotics of the perturbed sine-Gordon equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 39-48. http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a3/
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     title = {Kink asymptotics of the perturbed {sine-Gordon} equation},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a3/}
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The leading term and the first correction to the solution of the Goursat problem for the perturbed sine-Gordon equation are constructed at times of the order of the inverse of the perturbation parameter. The equation for the modulation of the first correction in the continuous spectrum is obtained.

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