Geodesic
Nonlinear Schr\"odinger equation and the bogolyubov-whitham method of averaging
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 351-356

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

Averaging of the type [1] for nonlinear Schrödinger equation (NSE) using finitezone averaging tecnique [2, 3] is investigated. In the one-zone case the results obtained are presented in the explicit form. Some characteristics of the original equation are averaged which are of use in applied calculations. Finally, recurrent and functional formulas are given which connect the densities of the motion integrals of NSE, fluxes and variational derivatives. 
@article{TMF_1987_71_3_a4,
     author = {M. V. Pavlov},
     title = {Nonlinear {Schr\"odinger} equation and the bogolyubov-whitham method of averaging},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {351--356},
     publisher = {mathdoc},
     volume = {71},
     number = {3},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a4/}
}
TY  - JOUR
AU  - M. V. Pavlov
TI  - Nonlinear Schr\"odinger equation and the bogolyubov-whitham method of averaging
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1987
SP  - 351
EP  - 356
VL  - 71
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a4/
LA  - ru
ID  - TMF_1987_71_3_a4
ER  - 
%0 Journal Article
%A M. V. Pavlov
%T Nonlinear Schr\"odinger equation and the bogolyubov-whitham method of averaging
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1987
%P 351-356
%V 71
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a4/
%G ru
%F TMF_1987_71_3_a4
M. V. Pavlov. Nonlinear Schr\"odinger equation and the bogolyubov-whitham method of averaging. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 351-356. http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a4/