Vladimir Stefanov Gerdjikov
Vladimir Stefanov Gerdjikov
Institute for Nuclear Research and Nuclear Energy, Sofia, Institute of Mathematics and Informatics
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Inverse scattering transform for the Camassa–Holm equation
A Constantin, VS Gerdjikov, RI Ivanov
Inverse problems 22 (6), 2197, 2006
The quadratic bundle of general form and the nonlinear evolution equations
VS Gerdjikov, MI Ivanov
Joint Inst. for Nuclear Research, 1982
Integrable hamiltonian hierarchies: Spectral and geometric methods
VS Gerdjikov, G Vilasi, AB Yanovski
Springer, 2008
Generalised Fourier transforms for the soliton equations. Gauge-covariant formulation
VS Gerdjikov
Inverse Problems 2 (1), 51, 1986
The generating operator for the nÎ n linear system
VS Gerdjikov, PP Kulish
Physica D: Nonlinear Phenomena 3 (3), 549-564, 1981
Quadratic bundle and nonlinear equations
VS Gerdjikov, MI Ivanov, PP Kulish
Teoreticheskaya i Matematicheskaya Fizika 44 (3), 342-357, 1980
Asymptotic behavior of N-soliton trains of the nonlinear Schr÷dinger equation
VS Gerdjikov, DJ Kaup, IM Uzunov, EG Evstatiev
Physical review letters 77 (19), 3943, 1996
Complete integrability of nonlocal nonlinear Schr÷dinger equation
VS Gerdjikov, A Saxena
Journal of Mathematical Physics 58 (1), 013502, 2017
Completeness of the eigenfunctions for the Caudrey–Beals–Coifman system
VS Gerdjikov, AB Yanovski
Journal of Mathematical Physics 35 (7), 3687-3725, 1994
Nonlinear Schr÷dinger 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
Self-frequency shift of dark solitons in optical fibers
IM Uzunov, VS Gerdjikov
Physical Review A 47 (2), 1582, 1993
Algebraic and analytic aspects of soliton type equations
VS Gerdjikov
Contemporary Mathematics 301, 35-68, 2002
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
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
Basic aspects of soliton theory
VS Gerdjikov
Geometry, Integrability and Quantization, Editors IM Mladenov and ACá…, 2005
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
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
Evolution equations solvable by the inverse-scattering method. I. Spectral theory
VS Gerdjikov, EK Khristov
Bulgarian J. Phys 7, 28-41, 1980
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
On the spectral theory of the integro-differential operator A generating nonlinear evolution equations
VS Gerdjikov
Letters in Mathematical Physics 6 (5), 315-324, 1982
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