Geodesic
On degenerate multidimensional dispersion laws
Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 1, pp. 124-131 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We study degeneration of multidimensional analytic at the vicinity dispersion laws given that the corresponding function of degeneracy satisfies condition (3). We prove that two-dimensional dispersion laws $\omega(p,q)$ can be degenerate with respect to the decay process $1\to2$ if and only if their asymptotic behaviour when $p$ and $q$ are small has the form (28). It is shown that the corresponding function of degeneracy is unique and its asymptotic behaviour is found. 
@article{TMF_1997_112_1_a8,
     author = {D. D. Tskhakaya and E. I. Shulman},
     title = {On degenerate multidimensional dispersion laws},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {124--131},
     year = {1997},
     volume = {112},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a8/}
}
TY  - JOUR
AU  - D. D. Tskhakaya
AU  - E. I. Shulman
TI  - On degenerate multidimensional dispersion laws
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1997
SP  - 124
EP  - 131
VL  - 112
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a8/
LA  - ru
ID  - TMF_1997_112_1_a8
ER  - 
%0 Journal Article
%A D. D. Tskhakaya
%A E. I. Shulman
%T On degenerate multidimensional dispersion laws
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1997
%P 124-131
%V 112
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a8/
%G ru
%F TMF_1997_112_1_a8
D. D. Tskhakaya; E. I. Shulman. On degenerate multidimensional dispersion laws. Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 1, pp. 124-131. http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a8/

[1] V. E. Zakharov, E. I. Schulman, Physica D, 29:3 (1988), 283–321 | DOI | MR

[2] V. E. Zakharov, E. I. Schulman, Physica D, 1:2 (1980), 191–202 | DOI

[3] V. E. Zakharov, E. I. Shulman, DAN SSSR, 283:6 (1985), 1325–1328 | MR

[4] V. E. Zakharov, Lect. Notes Phys., 153, 1983, 190–216 | DOI

[5] E. I. Shulman, TMF, 76:1 (1988), 88–99 | MR

[6] A. M. Balk, S. V. Nazarenko, V. E. Zakharov, Phys. Lett. A, 146:4 (1990), 217–221 | DOI | MR

[7] D. D. Tskhakaya, TMF, 95:1 (1993), 20–33 | MR | Zbl

[8] A. M. Balk, Phys. Lett. A, 155:1 (1991), 20–24 | DOI | MR

[9] D. D. Tskhakaya, Vyrozhdennost zakonov dispersii i mnogomernye integriruemye differentsialnye uravneniya, Dissertatsiya kand. fiz.-matem. nauk, TGU, Tbilisi, 1991