Analogs of multisoliton potentials for the two-dimensional Schrödinger operator
Article
- 51 Downloads
- 8 Citations
Keywords
Functional Analysis Multisoliton Potential
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
Literature Cited
- 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
Copyright information
© Plenum Publishing Corporation 1986