Geodesic
Dynamic Systems Admitting the Normal Shift and Wave Equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 2, pp. 244-260

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

We consider wave equations on Riemannian manifolds and investigate wave front dynamics in the semiclassical approximation. The problem of finding wave equations whose wave front dynamics is described by Newtonian dynamic systems admitting the normal shift is solved. A subclass of these dynamic systems that can be defined by modified Lagrange and Hamilton equations is described explicitly. 
@article{TMF_2002_131_2_a6,
     author = {R. A. Sharipov},
     title = {Dynamic {Systems} {Admitting} the {Normal} {Shift} and {Wave} {Equations}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {244--260},
     publisher = {mathdoc},
     volume = {131},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2002_131_2_a6/}
}
TY  - JOUR
AU  - R. A. Sharipov
TI  - Dynamic Systems Admitting the Normal Shift and Wave Equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2002
SP  - 244
EP  - 260
VL  - 131
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2002_131_2_a6/
LA  - ru
ID  - TMF_2002_131_2_a6
ER  - 
%0 Journal Article
%A R. A. Sharipov
%T Dynamic Systems Admitting the Normal Shift and Wave Equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2002
%P 244-260
%V 131
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2002_131_2_a6/
%G ru
%F TMF_2002_131_2_a6
R. A. Sharipov. Dynamic Systems Admitting the Normal Shift and Wave Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 2, pp. 244-260. http://geodesic.mathdoc.fr/item/TMF_2002_131_2_a6/