Vladimir Stefanov Gerdjikov
Vladimir Stefanov Gerdjikov
Institute for Nuclear Research and Nuclear Energy, Sofia, Institute of Mathematics and Informatics
Verified email at inrne.bas.bg
Title
Cited by
Cited by
Year
Inverse scattering transform for the Camassa–Holm equation
A Constantin, VS Gerdjikov, RI Ivanov
Inverse problems 22 (6), 2197, 2006
3072006
Integrable hamiltonian hierarchies: Spectral and geometric methods
V Gerdjikov, G Vilasi, AB Yanovski
Springer Science & Business Media, 2008
1522008
The quadratic bundle of general form and the nonlinear evolution equations
VS Gerdjikov, MI Ivanov
Joint Inst. for Nuclear Research, 1982
1501982
Generalised Fourier transforms for the soliton equations. Gauge-covariant formulation
VS Gerdjikov
Inverse Problems 2 (1), 51, 1986
1401986
The generating operator for the n× n linear system
VS Gerdjikov, PP Kulish
Physica D: Nonlinear Phenomena 3 (3), 549-564, 1981
1141981
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
1061996
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
881997
Completeness of the eigenfunctions for the Caudrey–Beals–Coifman system
VS Gerdjikov, AB Yanovski
Journal of Mathematical Physics 35 (7), 3687-3725, 1994
871994
Self-frequency shift of dark solitons in optical fibers
IM Uzunov, VS Gerdjikov
Physical Review A 47 (2), 1582, 1993
801993
Quadratic bundle and nonlinear equations
VS Gerdjikov, MI Ivanov, PP Kulish
791979
Complete integrability of nonlocal nonlinear Schrödinger equation
VS Gerdjikov, A Saxena
Journal of Mathematical Physics 58 (1), 013502, 2017
702017
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
662001
Algebraic and analytic aspects of soliton type equations
VS Gerdjikov
Contemporary Mathematics 301, 35-68, 2002
622002
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
622001
Two-component Bose-Einstein condensates in periodic potential
NA Kostov, VZ Enol’skii, VS Gerdjikov, VV Konotop, M Salerno
Physical Review E 70 (5), 056617, 2004
592004
Basic aspects of soliton theory
VS Gerdjikov
Proceedings of the Sixth International Conference on Geometry, Integrability …, 2005
552005
Evolution equations solvable by the inverse-scattering method. I. Spectral theory
VS Gerdjikov, EK Khristov
Bulgarian J. Phys 7, 28-41, 1980
511980
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
491982
Hamiltonian structure of multicomponent nonlinear Schrödinger equations in difference form
VS Gerdzhikov, MI Ivanov
Theoretical and Mathematical Physics 52 (1), 676-685, 1982
491982
Stability and quasi-equidistant propagation of NLS soliton trains
VS Gerdjikov, EG Evstatiev, DJ Kaup, GL Diankov, IM Uzunov
Physics Letters A 241 (6), 323-328, 1998
481998
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