Two-dimensional ?inverse scattering problem? for negative energies and generalized-analytic functions. I. Energies below the ground state

Author:

Grinevich P. G.,Novikov S. P.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference20 articles.

1. B. A. Dubrovin, I. M. Krichever, and S. P. Novikov, "Schr�dinger's equation in a periodic field and Riemann surfaces," Dokl. Akad. Nauk SSSR,229, No. 1, 15?18 (1976).

2. S. V. Manakov, "The method of the inverse scattering problem and two-dimensional evolution equations," Usp. Mat. Nauk,31, No. 5, 245?246 (1976).

3. A. P. Veselov and S. P. Novikov, "Finite-zone two-dimensional Schr�dinger operators. Distinguishing potential operators. Real theory," Dokl. Akad. Nauk SSSR,279, No. 1, 20?24 (1984).

4. A. P. Veselov and S. P. Novikov, "Finite-zone two-dimensional Schr�dinger operators. Potential operators," Dokl. Akad. Nauk SSSR,279, No. 4, 784?788 (1984).

5. S. P. Novikov and A. P. Veselov, "Two-dimensional Schr�dinger operator: Inverse scattering transform and nonlinear equations," in: Solitons and Coherent Structures, North-Holland, Amsterdam (1986), pp. 267?273 (for the 60th birthday of Martin Kruskal).

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