@article{IM2_1992_38_3_a4,
author = {P. I. Naumkin and I. A. Shishmarev},
title = {Asymptotic for large time of solutions of a system of equations for surface waves},
journal = {Izvestiya. Mathematics},
pages = {525--551},
year = {1992},
volume = {38},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a4/}
}
P. I. Naumkin; I. A. Shishmarev. Asymptotic for large time of solutions of a system of equations for surface waves. Izvestiya. Mathematics, Tome 38 (1992) no. 3, pp. 525-551. http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a4/
[1] Naumkin P. I., Shishmarëv I. A., “Sistema uravnenii poverkhnostnykh voln”, DAN SSSR, 301:4 (1988), 788–793 | Zbl
[2] Naumkin P. I., Shishmarëv I. A., “O sisteme uravnenii, opisyvayuschei poverkhnostnye volny”, Izv. AN SSSR. Ser. matem., 54:4 (1990), 774–809 | Zbl
[3] Uizem Dzh. B., Lineinye i nelineinye volny, Mir, M., 1977, 622 pp.
[4] Nelineinaya teoriya rasprostraneniya voln, Mir, M., 1970, 300 pp.
[5] Dobrokhotov S. Yu., “Nelokalnye analogi nelineinogo uravneniya Bussineska dlya poverkhnostnykh voln nad nerovnym dnom i ikh asimptoticheskie resheniya”, DAN SSSR, 292:1 (1987), 63–67 | MR | Zbl
[6] Broer L. J., “Approximate equations for long water waves”, Appl. Sci. Res., 31 (1975), 377–395 | DOI | MR | Zbl
[7] Kaup D. J., “A higher-order water-wave equation and the method for solving it”, Progress of Theor. Phys., 54:2 (1975), 396–408 | DOI | MR | Zbl
[8] Ablovits M., Cugyp X., Solitony i metod obratnoi zadachi, Mir, M., 1987, 479 pp. | MR
[9] Naumkin P. I., Shishmarëv I. A., “Asimptotika pri $t\to\infty$ reshenii obobschënnogo uravneniya Kolmogorova–Petrovskogo–Piskunova”, Matem. modelirovanie, 1:6 (1989), 109–125 | MR | Zbl
[10] Naumkin P. I., Shishmarëv I. A., “Asimptotika reshenii uravneniya Uizema pri bolshikh vremenakh”, Matem. modelirovanie, 2:3 (1990), 75–88 | MR | Zbl
[11] Naumkin P. I., Shishmarëv I. A., “Ob asimptotike pri $t\to\infty$ reshenii nelineinykh evolyutsionnykh uravnenii s dissipatsiei”, Matem. zametki, 45:4 (1989), 118–121 | MR | Zbl