@article{TMF_2003_137_2_a2,
author = {G. A. El},
title = {The {Infinite-Genus} {Limit} of the {Whitham} {Equations}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {176--187},
year = {2003},
volume = {137},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2003_137_2_a2/}
}
G. A. El. The Infinite-Genus Limit of the Whitham Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 176-187. http://geodesic.mathdoc.fr/item/TMF_2003_137_2_a2/
[1] G. B. Whitham, Proc. Roy. Soc. A, 283 (1965), 238 | DOI | MR | Zbl
[2] H. Flaschka, G. Forest, D. W. McLaughlin, Commun. Pure Appl. Math., 33 (1979), 739 | DOI | MR
[3] P. D. Lax, C. D. Levermore, Commun. Pure Appl. Math., 36 (1983), 253 ; 571 ; 809 | DOI | MR | Zbl | MR | Zbl | MR | Zbl
[4] S. Venakides, Trans. Am. Math. Soc., 301 (1987), 189 | DOI | MR | Zbl
[5] S. Venakides, Commun. Pure Appl. Math., 43 (1990), 335 | DOI | MR | Zbl
[6] P. Deift, S. Venakides, X. Zhou, Int. Math. Res. Not., 1997, no. 6, 285 | MR | Zbl
[7] S. Venakides, Commun. Pure Appl. Math., 42 (1989), 711 | DOI | MR | Zbl
[8] R. Johnson, J. Moser, Commun. Math. Phys., 84 (1982), 403 | DOI | MR | Zbl
[9] G. A. El, A. L. Krylov, S. A. Molchanov, S. Venakides, Physica D, 152–153 (2001), 653 | DOI | MR | Zbl
[10] V. E. Zakharov, ZhETF, 60 (1971), 993
[11] B. A. Dubrovin, S. P. Novikov, UMN, 44:6 (1989), 29 | MR | Zbl
[12] S. P. Novikov, Funkts. analiz i ego prilozh., 8:3 (1974), 54 | MR | Zbl
[13] P. D. Lax, Commun. Pure Appl. Math., 26 (1975), 141 | MR
[14] A. R. Its, V. B. Matveev, TMF, 23 (1975), 51 | MR
[15] M. I. Weinstein, J. B. Keller, SIAM J. Appl. Math., 47 (1987), 941 | DOI | MR | Zbl
[16] A. V. Gurevich, N. G. Mazur, K. P. Zubin, ZhETF, 117 (2000), 797 | MR
[17] A. L. Krylov, G. A. El, UMN, 54:2 (1999), 175 | DOI | MR | Zbl
[18] I. M. Krichever, Funkts. analiz i ego prilozh., 22:3 (1988), 37 | MR | Zbl
[19] G. A. El, “Algebro-geometrical solutions of the infinite-genus Whitham equations” (to appear)