Analogs of multisoliton potentials for the two-dimensional Schrödinger operator
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KeywordsFunctional Analysis Multisoliton Potential
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- 1.L. D. Faddeev, "The inverse problem in quantum scattering theory," Contemporary Problems in Mathematics [in Russian], Vol. 3, VINITI, Moscow (1974), pp. 93–180.Google Scholar
- 2.S. V. Manakov, "The method of inverse scattering problem and two-dimensional evolution equations," Usp. Mat. Nauk,31, No. 5, 245–246 (1976).Google Scholar
- 3.B. A. Dubrovin, I. M. Krichever, and S. P. Novikov, "The Schrödinger equation in a periodic field and Riemann surfaces," Dokl. Akad. Nauk SSSR,229, No. 1, 15–18 (1976).Google Scholar
- 4.S. V. Manakov, "The inverse scattering transform for the time dependent Schrödinger equation and Kadomtsev—Petviashvili equation," Physica D,3, No. 1 + 2, 420–427 (1981).Google Scholar
- 5.E. V. Zakharov and S. V. Manakov, "Multidimensional nonlinear integrable systems and methods of construction of their solutions," J. Sov. Math.,31, No. 6 (1985).Google Scholar
- 6.A. P. Veselov and S. P. Novikov, "Finite-zone two-dimensional Schrödinger operators. Separation of potential operators. Real theory," Dokl. Akad. Nauk SSSR,279, No. 4, 784–788 (1984).Google Scholar
- 7.A. P. Veselov and S. P. Novikov, "Finite-zone two-dimensional Schrödinger operators. The explicit formulas and evolution equations," Dokl. Akad. Nauk SSSR,279, No. 1, 20–24 (1984).Google Scholar
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