@article{TMF_2000_124_2_a6,
author = {A. B. Borisov},
title = {Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {279--291},
year = {2000},
volume = {124},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a6/}
}
TY - JOUR AU - A. B. Borisov TI - Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2000 SP - 279 EP - 291 VL - 124 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a6/ LA - ru ID - TMF_2000_124_2_a6 ER -
%0 Journal Article %A A. B. Borisov %T Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems %J Teoretičeskaâ i matematičeskaâ fizika %D 2000 %P 279-291 %V 124 %N 2 %U http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a6/ %G ru %F TMF_2000_124_2_a6
A. B. Borisov. Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 2, pp. 279-291. http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a6/
[1] M. Ablovits, Kh. Sigur, Solitony i metod obratnoi zadachi rasseyaniya, Mir, M., 1987, s. 442 | MR
[2] V. E. Zakharov, S. V. Manakov, S. P. Novikov, L. P. Pitaevskii, Teoriya solitonov: Metod obratnoi zadachi, Nauka, M., 1980 | MR
[3] A. S. Fokas, Physica D, 35 (1989), 167 | DOI | MR | Zbl
[4] E. K. Sklyanin, J. Phys. A, 21 (1988), 2375 | DOI | MR | Zbl
[5] A. S. Fokas, A. R. Its, TMF, 92:3 (1992), 387 | MR | Zbl
[6] R. F. Bikbaev, V. O. Tarasov, J. Phys. A, 24 (1991), 2507 | DOI | MR | Zbl
[7] I. T. Khabibullin, TMF, 91:3 (1992), 363 | MR
[8] E. S. Gutshabash, V. D. Lipovskii, Zap. nauchn. semin. LOMI, 180, 1990, 53
[9] D. J. Kaup, “Two new aspects of the inverse scattering transform: (1) the elliptic sinh-Gordon equation, and (2) growing solitons”, Nonlinear World, Proceed. 4th Intern. Wookshop on Nonlinear and Turbulent Processes in Physics. V. 1 (Kiev, 1989), ed. V. G. Bar'yakhtar, World Scientific, River Edge, NJ, 1990, 139 | MR | Zbl
[10] A. B. Borisov, S. N. Ionov, A. G. Shagalov, “New types of vortices and the solutions of the boundary value problem for the sine-Gordon equation by the inverse scattering transform”, Nonlinear World, Proceed. 4th Intern. Wookshop on Nonlinear and Turbulent Processes in Physics. V. 1 (Kiev, 1989), ed. V. G. Bar'yakhtar, World Scientific, River Edge, NJ, 1990, 65 | MR | Zbl
[11] A. B. Borisov, Phys. Lett. A, 143:1 (1990), 52 | DOI | MR
[12] M. D. Einhorn, R. Savit, E. A. Rabinovich, Nucl. Phys., 170 (1980), 16 | DOI
[13] A. B. Borisov, V. V. Kiseliev, Physica D, 87 (1995), 64 | DOI | MR | Zbl
[14] A. B. Borisov, S. N. Ionov, A. G. Shagalov, “Vortices, strings and the solutions of the boundary value problem by the inverse scattering transform”, Proceed. NEED's 92, eds. V. G. Makhan'kov, F. Calogero, World Scientific, Singapore, 1992, 67 | MR
[15] A. G. Shagalov, Phys. Lett. A, 165 (1992), 412 | DOI | MR
[16] A. R. Its, V. Yu. Novokshenov, The Isomonodromic Deformation in the Theory of the Painleve' Equations, Lecture Notes in Mathematics, 1191, Springer-Verlag, Berlin–Heidelberg–New York, 1986 | DOI | MR | Zbl
[17] V. Yu. Novokshenov, A. G. Shagalov, TMF, 111 (1997), 15 | DOI | MR | Zbl
[18] Yu. I. Yalyshev, Chastnoe soobschenie, 1994
[19] V. A. Arkadev, A. K. Pogrebkov, M. K. Polivanov, TMF, 53 (1982), 163 | MR
[20] V. A. Ditkin, A. P. Prudnikov, Integralnye preobrazovaniya i operatsionnoe ischislenie, Fizmatgiz, M., 1961 | MR
[21] M. Toda, Teoriya nelineinykh reshetok, Mir, M., 1984, s. 261 | MR
[22] D. Mamford, Lektsii o teta-funktsiyakh, Mir, M., 1988, s. 466 | MR