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V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, Theory of Solitons [in Russian], Nauka, Moscow (1980).
E. K. Sklyanin, “Boundary conditions for integrable equations,” Funkts. Anal. Prilozhen.,21, No. 2, 86–87 (1987).
V. O. Tarasov, “Boundary value problem for the nonlinear Schrödinger equation,” Zap. Nauchn. Sem. LOMI,169, 151–165 (1988).
R. F. Bikbaev and A. R. Its, “Algebro-geometric solutions of a boundary value problem for the nonlinear Schrödinger equation,” Mat. Zametki,45, No. 5, 3–10 (1989).
E. K. Skljanin, “On complete integrability of the Landau-Lifshits equation,” LOMI, Preprint E-3-1979, Leningrad (1979).
R. F. Bikbaev, A. I. Bobenko, and A. R. Its, The Landau-Lifshits Equation. Theory of Exact Solutions. 2 [in Russian], Donetsk Fiz. Tekh. Inst, 84-7 (82), Preprint, Donetsk (1984).
R. F. Bikbaev, “On a new class of finite-gap solutions of the Landau-Lifshits XXZ-equation,” Mat. Zametki,46, No. 1, 112–114 (1989).
R. F. Bikbaev, and R. A. Sharipov, “Magnetization waves in the Landau-Lifshitz model,” Phys. Lett. A,134, No. 2, 105–107 (1988).
J. D. Fay, Theta-Functions on Riemann Surfaces, Lecture Notes in Math., Vol. 352 (1973).
B. A. Dubrovin, “Matrix Finite-Gap Operators,” in: Modern Problems of Mathematics [in Russian], Vol. 23, VINITI, Moscow (1983), pp. 33–78.
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Translated from Matematicheskie Zametki, Vol. 48, No. 2, pp. 10–18, August, 1990.
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Bikbaev, R.F. Finite-gap solutions of boundary value problems for integrable equations. Mathematical Notes of the Academy of Sciences of the USSR 48, 725–731 (1990). https://doi.org/10.1007/BF01262602
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DOI: https://doi.org/10.1007/BF01262602