Deceleration of solitons in molecular chains
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 3, pp. 367-377 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Effects of external actions on solitons arising under local excitations in one-dimensional molecular chains are investigated. The deceleration of solitons due to friction forces affecting the molecules of the chain is studied using the “slowly varying coefficients” method. The motion of a soliton in the presence of external fields is studied. It is shown that the physical nature of the nonlinearity of the equations is important for describing the dynamical properties of solitons.
@article{TMF_1980_43_3_a7,
     author = {A. S. Davydov and A. A. Eremko},
     title = {Deceleration of~solitons in~molecular chains},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {367--377},
     year = {1980},
     volume = {43},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a7/}
}
TY  - JOUR
AU  - A. S. Davydov
AU  - A. A. Eremko
TI  - Deceleration of solitons in molecular chains
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1980
SP  - 367
EP  - 377
VL  - 43
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a7/
LA  - ru
ID  - TMF_1980_43_3_a7
ER  - 
%0 Journal Article
%A A. S. Davydov
%A A. A. Eremko
%T Deceleration of solitons in molecular chains
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 367-377
%V 43
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a7/
%G ru
%F TMF_1980_43_3_a7
A. S. Davydov; A. A. Eremko. Deceleration of solitons in molecular chains. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 3, pp. 367-377. http://geodesic.mathdoc.fr/item/TMF_1980_43_3_a7/

[1] A. C. Scott, F. Y. F. Chu, D. W. McLaughlin, Proc. IEEE, 61 (1973), 1443 | DOI | MR

[2] V. I. Karpman, E. M. Maslov, ZhETF, 73 (1977), 537 | MR

[3] M. B. Fogei, S. E. Trullinger, A. R. Bishop, J. A. Krumhansl, Phys. Rev. Lett., 36 (1976), 1411 | DOI | MR

[4] J. P. Keener, D. W. McLaughlin, Phys. Rev., A16 (1977), 777 | DOI | MR

[5] A. S. Davydov, Teoriya molekulyarnykh eksitonov, «Nauka», 1968 | MR | Zbl

[6] A. S. Davydov, N. I. Kislukha, Phys. Stat. Sol. (b), 59 (1973), 465 | DOI

[7] A. S. Davydov, N. I. Kislukha, Phys. Stat. Sol. (b), 75 (1976), 735 | DOI

[8] A. S. Davydov, N. I. Kislukha, ZhETF, 71 (1976), 1090

[9] A. S. Davydov, A. A. Eremko, UFZh, 22 (1977), 881

[10] N. N. Bogolyubov, Yu. A. Mitropolskii, Asimptoticheskie metody v teorii nelineinykh kolebanii, «Nauka», 1974 | MR