Asymptotic behavior as $t\to\infty$ of the solution to the Cauchy problem for the Landau--Lifshitz equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 2, pp. 163-170

Voir la notice de l'article provenant de la source Math-Net.Ru

The leading term in the $t\to\infty$ asymptotic behavior of the solution of the Cauchy problem for the Landau–Lifshitz equation is constructed in the case of “rapidly decreasing” initial data. The interaction of the oscillator background due to the continuum with soliton excitations is described.
@article{TMF_1988_77_2_a0,
     author = {R. F. Bikbaev},
     title = {Asymptotic behavior as $t\to\infty$ of the solution to the {Cauchy} problem for the {Landau--Lifshitz} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {163--170},
     publisher = {mathdoc},
     volume = {77},
     number = {2},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_77_2_a0/}
}
TY  - JOUR
AU  - R. F. Bikbaev
TI  - Asymptotic behavior as $t\to\infty$ of the solution to the Cauchy problem for the Landau--Lifshitz equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1988
SP  - 163
EP  - 170
VL  - 77
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1988_77_2_a0/
LA  - ru
ID  - TMF_1988_77_2_a0
ER  - 
%0 Journal Article
%A R. F. Bikbaev
%T Asymptotic behavior as $t\to\infty$ of the solution to the Cauchy problem for the Landau--Lifshitz equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1988
%P 163-170
%V 77
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1988_77_2_a0/
%G ru
%F TMF_1988_77_2_a0
R. F. Bikbaev. Asymptotic behavior as $t\to\infty$ of the solution to the Cauchy problem for the Landau--Lifshitz equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 2, pp. 163-170. http://geodesic.mathdoc.fr/item/TMF_1988_77_2_a0/