Vladimir Stefanov Gerdjikov

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Georgi GrahovskiDepartment of Mathematical Sciences, University of Essex, Colchester (UK)Verified email at essex.ac.uk
Alexandar YanovskiProfessor of Mathematics, University of Cape TownVerified email at uct.ac.za
Gaetano VilasiUniversità degli Studi di Salerno and INFNVerified email at sa.infn.it
Rossen IvanovProfessor, TU Dublin, IrelandVerified email at tudublin.ie
Tihomir ValchevAssociate Professor, Institute of Mathematics and Informatics, Bulgarian Academy of SciencesVerified email at math.bas.bg
Ivan M. UzunovProfessor of Physics, Technical University of SofiaVerified email at tu-sofia.bg
Aleksander StefanovFaculty of Mathematics and Informatics, Sofia UniversityVerified email at fmi.uni-sofia.bg
Alexander V. MikhailovProfessor of Mathematical Physics, University of LeedsVerified email at leeds.ac.uk
G MarmoProfessore di fisica teorica , Naples University Federico IIVerified email at na.infn.it
Mario SalernoProfessor, Dept of Physics, University of SalernoVerified email at sa.infn.it
A.O. SmirnovSaint Petersburg State University of Aerospace Instrumentation (SUAI)Verified email at guap.ru
Adrian ConstantinFaculty of Mathematics, University of Vienna, AustriaVerified email at univie.ac.at
Stanislav VarbevAssistant Professor, University of Architecture, Civil Engineering and GeodesyVerified email at uacg.bg
Victor A. AtanasovSofia University, Faculty of PhysicsVerified email at phys.uni-sofia.bg
Vladimir Borisovich MatveevEmeritus Professor, - Université de Bourgogne - Franche-Comté,Dijon, FranceVerified email at u-bourgogne.fr
Bakhtiyor BaizakovPhysical Technical Institute, Uzbek Academy of SciencesVerified email at uzsci.net
Vladimir V KonotopProfessor of Physics, Faculty of Sciences, University of LisbonVerified email at fc.ul.pt
Radu ConstantinescuUniversity of CraiovaVerified email at central.ucv.ro
Corina N. BabalicAsistent universitar, Universitatea din CraiovaVerified email at ucv.ro
Rossen DandoloffUniversité de Cergy-Pontoise, FranceVerified email at u-cergy.fr

Vladimir Stefanov Gerdjikov

Institute for Nuclear Research and Nuclear Energy, Sofia, Institute of Mathematics and Informatics

Verified email at inrne.bas.bg

soliton theory integrable systems soliton interactions


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Inverse scattering transform for the Camassa–Holm equation A Constantin, VS Gerdjikov, RI Ivanov Inverse problems 22 (6), 2197, 2006	417	2006
The quadratic bundle of general form and the nonlinear evolution equations VS Gerdjikov Bulg. J. Phys. 10, 130, 1983	256	1983
Integrable hamiltonian hierarchies: Spectral and geometric methods VS Gerdjikov, G Vilasi, AB Yanovski Springer, 2008	205	2008
Generalised Fourier transforms for the soliton equations. Gauge-covariant formulation VS Gerdjikov Inverse Problems 2 (1), 51, 1986	162	1986
Complete integrability of nonlocal nonlinear Schrödinger equation VS Gerdjikov, A Saxena Journal of Mathematical Physics 58 (1), 2017	133	2017
Quadratic bundle and nonlinear equations VS Gerdjikov, MI Ivanov, PP Kulish	132*	1979
The generating operator for the n× n linear system VS Gerdjikov, PP Kulish Physica D: Nonlinear Phenomena 3 (3), 549-564, 1981	129	1981
Asymptotic behavior of N-soliton trains of the nonlinear Schrödinger equation VS Gerdjikov, DJ Kaup, IM Uzunov, EG Evstatiev Physical review letters 77 (19), 3943, 1996	114	1996
Completeness of the eigenfunctions for the Caudrey–Beals–Coifman system VS Gerdjikov, AB Yanovski Journal of Mathematical Physics 35 (7), 3687-3725, 1994	103	1994
Nonlinear Schrödinger equation and N-soliton interactions: Generalized Karpman-Solov'ev approach and the complex Toda chain VS Gerdjikov, IM Uzunov, EG Evstatiev, GL Diankov Physical Review E 55 (5), 6039, 1997	95	1997
Self-frequency shift of dark solitons in optical fibers IM Uzunov, VS Gerdjikov Physical Review A 47 (2), 1582, 1993	85	1993
Algebraic and analytic aspects of soliton type equations VS Gerdjikov Contemporary Mathematics 301, 35-68, 2002	84	2002
Reductions of N-wave interactions related to low-rank simple Lie algebras: I. ℤ2-reductions VS Gerdjikov, GG Grahovski, NA Kostov Journal of Physics A: Mathematical and General 34 (44), 9425, 2001	76	2001
N-wave interactions related to simple Lie algebras. ℤ2-reductions and soliton solutions VS Gerdjikov, GG Grahovski, RI Ivanov, NA Kostov Inverse Problems 17 (4), 999, 2001	76	2001
The quadratic bundle of general form and the nonlinear evolution equations: expansions over the" squared" solutions-generalized Fourier transform VS Gerdjikov, MI Ivanov Bulg. J. Phys., 1982	71	1982
Basic aspects of soliton theory VS Gerdjikov Proceedings of the Sixth International Conference on Geometry, Integrability …, 2005	70	2005
Two-component Bose-Einstein condensates in periodic potential NA Kostov, VZ Enol’skii, VS Gerdjikov, VV Konotop, M Salerno Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 70 (5 …, 2004	66	2004
Evolution equations solvable by the inverse-scattering method. I. Spectral theory VS Gerdjikov, EK Khristov Bulgarian J. Phys 7, 28-41, 1980	58	1980
Hamiltonian structure of multicomponent nonlinear Schrodinger equations in difference form VS Gerdjikov, MI Ivanov Teoreticheskaya i Matematicheskaya Fizika 52 (1), 89-104, 1982	56	1982
Expansions over the ‘‘squared’’solutions and difference evolution equations VS Gerdjikov, MI Ivanov, PP Kulish Journal of mathematical physics 25 (1), 25-34, 1984	54	1984

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