Zobrazeno 1 - 10
of 184
pro vyhledávání: '"Gerdjikov, V S"'
Autor:
Gerdjikov, V. S., Stefanov, A. A., Iliev, I. D., Boyadjiev, G. P., Smirnov, A. O., Matveev, V. B., Pavlov, M. V.
We constructed the three nonequivalent gradings in the algebra $D_4 \simeq so(8)$. The first one is the standard one obtained with the Coxeter automorphism $C_1=S_{\alpha_2} S_{\alpha_1}S_{\alpha_3}S_{\alpha_4}$ using its dihedral realization. In the
Externí odkaz:
http://arxiv.org/abs/2006.16323
Autor:
Gerdjikov, V. S., Todorov, M. D.
We analyze the dynamical behavior of the N-soliton train in the adiabatic approximation of the perturbed nonlinear Schrodinger (NLS) equation and the Manakov model. The perturbations include the simultaneous by a periodic external potential, and line
Externí odkaz:
http://arxiv.org/abs/1801.04897
We investigate the asymptotic behavior of the Manakov soliton trains perturbed by cross-modulation in the adiabatic approximation. The multisoliton interactions in the adiabatic approximation are modeled by a generalized Complex Toda chain (GCTC). Th
Externí odkaz:
http://arxiv.org/abs/1610.08413
Autor:
Gerdjikov, V. S., Saxena, A.
Based on the completeness relation for the squared solutions of the Lax operator $L$ we show that a subset of nonlocal equations from the hierarchy of nonlocal nonlinear Schr\"odinger equations (NLS) is a completely integrable system. The spectral pr
Externí odkaz:
http://arxiv.org/abs/1510.00480
We consider the asymptotic behavior of the soliton solutions of Manakov's system perturbed by external potentials. It has already been established that its multisoliton interactions in the adiabatic approximation can be modeled by the Complex Toda ch
Externí odkaz:
http://arxiv.org/abs/1408.0230
Autor:
Gerdjikov, V. S.
We propose new types of integrable spinor models, generalizing the well known ones of: i) Nambu-Jona-Lasinio-Vaks-Larkin models, related to SU(N); ii) the Gross-Neveu models - SP(2N); and the iii) Zakharov-Mikhailov models - SO(N). We propose a metho
Externí odkaz:
http://arxiv.org/abs/1210.3722
Autor:
Gerdjikov, V. S.1,2 (AUTHOR) gerjikov@inrne.bas.bg, Li, Nianhua3 (AUTHOR), Matveev, V. B.4,5 (AUTHOR), Smirnov, A. O.6 (AUTHOR)
Publikováno v:
Theoretical & Mathematical Physics. Oct2022, Vol. 213 Issue 1, p1331-1347. 17p.
Autor:
Gerdjikov, V. S.1,2 (AUTHOR) gerjikov@inrne.bas.bg, Grahovski, G. G.3 (AUTHOR), Stefanov, A. A.1,4 (AUTHOR)
Publikováno v:
Theoretical & Mathematical Physics. Aug2022, Vol. 212 Issue 2, p1053-1072. 20p.
We study a class of integrable non-linear differential equations related to the A.III-type symmetric spaces. These spaces are realized as factor groups of the form SU(N)/S(U(N-k) x U(k)). We use the Cartan involution corresponding to this symmetric s
Externí odkaz:
http://arxiv.org/abs/1004.4182
We analyze a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces and their reductions. We briefly outline the direct and the inverse scattering method for the relevant Lax operators and t
Externí odkaz:
http://arxiv.org/abs/1001.0168