Soliton collective excitations in stochastic molecular crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 445-449
Cet article a éte moissonné depuis la source Math-Net.Ru
The dynamics of soliton-type collective excitations in inhomogeneous molecular crystals is investigated. An average-field equation is derived for the statistically perturbed nonlinear Schrödinger equation. The changes in the soliton amplitude and velocity are found. The conditions under which the average-field method applies to stochastic nonlinear wave equations are studied for the example of a model equation.
@article{TMF_1982_51_3_a14,
author = {F. Kh. Abdullaev},
title = {Soliton collective excitations in stochastic molecular crystals},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {445--449},
year = {1982},
volume = {51},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a14/}
}
F. Kh. Abdullaev. Soliton collective excitations in stochastic molecular crystals. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 445-449. http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a14/
[1] Bishop A. R. et al., Physica, D1 (1980), 1 | MR
[2] Davydov A. S., Kislukha N. I., ZhETF, 71 (1976), 1090
[3] Fedyanin V. K. et al., Phys. Lett., 61A (1977), 256 | DOI
[4] Makhankov V. G., Fedyanin V. K., TMF, 39 (1979), 381
[5] Kjems J. K., Steiner M., Phys. Rev. Lett., 41:16 (1978), 1137–1140 | DOI
[6] Pelinovskii E. N., Nelineinye volny, Sb., Nauka, M., 1979, 331
[7] Klyatskin V. I., Statisticheskoe opisanie dinamicheskikh sistem s fluktuiruyuschimi parametrami, Nauka, M., 1975
[8] Kaup D. J., Newell A. S., Proc. Roy. Soc., A361 (1978), 413 | DOI