Literature Cited
A. R. Its, Vestn. LGU, No. 7, 39 (1976).
V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz.,61, 1627 (1971).
L. A. Takhtadzhyan and L. D. Faddeev, Hamiltonian Approach in the Theory of Solitons [in Russian], Nauka, Moscow (1986).
A. R. Its and A. F. Ustinov, Dokl. Akad. Nauk SSSR,291, 91 (1986).
A. R. Its, Dokl. Akad. Nauk SSSR, No. 1, 14 (1981).
R. F. Bikbaev and R. A. Sharipov, Teor. Mat. Fiz.,77, 230 (1988).
V. P. Kotlyarov, “Asymptotic solutions of the nonlinear Schrödinger equation,” Preprint No. 39 [in Russian], Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences, Khar'kov (1986).
E. Ya. Khruslov, Mat. Sb.,99, 261 (1976).
A. V. Gurevich and L. P. Pitaevskii, Zh. Eksp. Teor. Fiz.,65, 590 (1973).
G. B. Whitham, Linear and Nonlinear Waves, Wiley-Interscience, New York (1974).
V. V. Avilov and S. P. Novikov, Dokl. Akad. Nauk SSSR,294, 325 (1987).
V. V. Avilov, I. M. Prichever, and S. P. Novikov, Dokl. Akad. Nauk SSSR,295, 345 (1987).
R. F. Bikbaev, “On the KdV equation with finite-gap boundary conditions,” Preprint [in Russian], BNTs YO, USSR Academy of Sciences, Ufa (1988).
H. Flaschka, M. G. Forest, and McLaughlin, Commun. Pure Appl. Math.,33, 739 (1980).
S. Yu. Dobrokhotov and V. P. Maslov, in: Sovremennye Problemy Matematiki (Modern Problems of Mathematics), VVol. 15, VINITI, Moscow (1980), p. 3.
R. F. Bikbaev and V. Y. Novokshenov, in: Proc. III Intern. Workshop, Kiev, Naukova Dumka, Kiev (1988), p. 32.
Additional information
Physics and Mathematics Division, Bashkir Branch of the USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 81, No. 1, pp. 3–11, October, 1989.
Rights and permissions
About this article
Cite this article
Bikbaev, R.F. Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type. Theor Math Phys 81, 1011–1017 (1989). https://doi.org/10.1007/BF01015504
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01015504