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Found 82 Documents (Results 1–82)

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The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: inverse scattering transform and multisoliton solutions. (English. Russian original) Zbl 07483559

Theor. Math. Phys. 210, No. 1, 8-30 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 11-37 (2022).
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Riemann-Hilbert approach and \(N\)-soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions. (English. Russian original) Zbl 1482.81014

Theor. Math. Phys. 209, No. 2, 1552-1578 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 274-303 (2021).
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Riemann-Hilbert problem for the Kundu-type nonlinear Schrödinger equation with \(N\) distinct arbitrary-order poles. (English. Russian original) Zbl 1467.81041

Theor. Math. Phys. 207, No. 1, 415-433 (2021); translation from Teor. Mat. Fiz. 207, No. 1, 23-43 (2021).
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Phaseless inverse problems for Schrödinger, Helmholtz, and Maxwell equations. (English. Russian original) Zbl 1450.81059

Comput. Math. Math. Phys. 60, No. 6, 1045-1062 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 1074-1092 (2020).
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Scientific heritage of L. D. Faddeev. Survey of papers. (English. Russian original) Zbl 1396.81008

Russ. Math. Surv. 72, No. 6, 977-1081 (2017); translation from Usp. Mat. Nauk 72, No. 6, xx (2017).
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Introduction to inverse problems for differential equations. (English) Zbl 1385.65053

Cham: Springer (ISBN 978-3-319-62796-0/hbk; 978-3-319-62797-7/ebook). xiii, 261 p. (2017).
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Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Reprint of the 1987 original. (English) Zbl 1111.37001

Classics in Mathematics. Berlin: Springer (ISBN 978-3-540-69843-2/pbk). xiv, 592 p. (2007).
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On the inverse problem of the scattering theory for a boundary value problem. (English) Zbl 1106.34059

Mladenov, Ivaïlo (ed.) et al., Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 2–10, 2005. Sofia: Bulgarian Academy of Sciences (ISBN 954-8495-30-9/pbk). 226-236 (2006).
MSC:  34L25 34B40 34L40
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An introduction to inverse scattering and inverse spectral problems. (English) Zbl 0870.35121

SIAM Monographs on Mathematical Modeling and Computation, 2. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. x, 198 p. (1997).
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Integrating the QMR method with first principles material science application code. (English) Zbl 0836.65131

Bailey, David H. (ed.) et al., Proceedings of the seventh SIAM conference on parallel processing for scientific computing, San Francisco, CA (USA), February 15-17, 1995. Philadelphia, PA: SIAM. 213-218 (1995).
MSC:  65Z05 65N38 35Q55
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Inverse scattering at fixed energy for exponentially decreasing potentials. (English) Zbl 0805.35158

Päivärinta, L. (ed.) et al., Inverse problems in mathematical physics. Proceedings of the Lapland conference on inverse problems held at Saariselkä, Finland, 14-20 June 1992. Berlin: Springer-Verlag. Lect. Notes Phys. 422, 189-192 (1993).
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Nonlinear scattering: The states which are close to a soliton. (English. Russian original) Zbl 0836.35146

J. Math. Sci., New York 77, No. 3, 3161-3169 (1995); translation from Zap. Nauchn. Semi. POMI 200, 38-50 (1992).
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Asymptotic behaviour of solutions of a one-dimensional Schrödinger equation. (Асимптотика решений одномерного уравнения Шредингера.) (Russian) Zbl 0791.34002

Leningrad: Leningradskiĭ Gosudarstvennyĭ Universitet. 256 p. (1990).
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Inverse methods and solitons as applied to nuclear physics. (English) Zbl 0850.35078

Sabatier, Pierre C. (ed.), Some topics on inverse problems. Proceedings of the 16th workshop on interdisciplinary study of inverse problems, Montpellier, France, Nov 30 - Dec 4, 1987. Singapore: World Scientific. 134-144 (1988).
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Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem. (English. Russian original) Zbl 0616.35071

Sov. Math., Dokl. 33, 9-12 (1986); translation from Dokl. Akad. Nauk SSSR 286, 19-22 (1986).
Reviewer: E.Belokolos
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