Geodesic
Influence of relaxation on nonlinear waves in crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 3, pp. 371-377

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A perturbation theory developed on the basis of the inverse scattering method is used to investigate the influence of transverse relaxation on a soliton of self-induced transparency in condensed media in the case of inhomogeneous broadening of the spectral line. It is shown that relaxation gives rise to excitation of a continuous spectrum of the scattering data of the auxiliary spectral problem and that this phenomenon leads to a change in the parameters of the nonlinear wave. Asymptotic expressions for the complex amplitude and energy and momentum of the extraordinary wave are determined. The parameters of a nonlinear wave propagating in a ruby crystal are calculated. 
@article{TMF_1988_75_3_a4,
     author = {G. T. Adamashvili},
     title = {Influence of relaxation on nonlinear waves in crystals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {371--377},
     publisher = {mathdoc},
     volume = {75},
     number = {3},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_75_3_a4/}
}
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G. T. Adamashvili. Influence of relaxation on nonlinear waves in crystals. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 3, pp. 371-377. http://geodesic.mathdoc.fr/item/TMF_1988_75_3_a4/