Gerdjikov Vladimir Stefanov

Publications in Math-Net.Ru

1. On soliton solutions and soliton interactions of Kulish–Sklyanin and Hirota–Ohta systems
   
   TMF, 213:1 (2022),  20–40
2. Real Hamiltonian forms of affine Toda field theories: Spectral aspects
   
   TMF, 212:2 (2022),  190–212
3. The $\text{m}$KdV-type equations related to $A_5^{(1)}$ and $A_5^{(2)}$ Kac–Moody algebras
   
   TMF, 207:2 (2021),  237–260
4. On mKdV equations related to Kac-Moody algebras $A_5^{(1)}$ and $A_5^{(2)}$
   
   Ufimsk. Mat. Zh., 13:2 (2021),  121–140
5. On asymptotic dynamical regimes of Manakov $N$-soliton trains in adiabatic approximation
   
   J. Sib. Fed. Univ. Math. Phys., 13:6 (2020),  678–693
6. Recursion operators and hierarchies of $\text{mKdV}$ equations related to the Kac–Moody algebras $D_4^{(1)}$, $D_4^{(2)}$, and $D_4^{(3)}$
   
   TMF, 204:3 (2020),  332–354
7. Kulish–Sklyanin-type models: Integrability and reductions
   
   TMF, 192:2 (2017),  187–206
8. The $N$-wave equations with $\mathcal{PT}$ symmetry
   
   TMF, 188:3 (2016),  397–415
9. Two-dimensional Toda field equations related to the exceptional algebra $\mathfrak g_2$: Spectral properties of the Lax operators
   
   TMF, 172:2 (2012),  236–249
10. Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces
    
    SIGMA, 7 (2011), 096, 48 pp.
11. Rational bundles and recursion operators for integrable equations on A.III-type symmetric spaces
    
    TMF, 167:3 (2011),  394–406
12. Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
    
    SIGMA, 6 (2010), 044, 29 pp.
13. Multicomponent nonlinear schrödinger equations with constant boundary conditions
    
    TMF, 159:3 (2009),  438–447
14. Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type
    
    SIGMA, 4 (2008), 029, 30 pp.
15. Exact Solutions for Equations of Bose–Fermi Mixtures in One-Dimensional Optical Lattice
    
    SIGMA, 3 (2007), 071, 14 pp.
16. $N$-Wave Equations with Orthogonal Algebras: $\mathbb Z_2$ and $\mathbb Z_2\times\mathbb Z_2$ Reductions and Soliton Solutions
    
    SIGMA, 3 (2007), 039, 19 pp.
17. $N$-soliton train and generalized complex Toda chain for the Manakov system
    
    TMF, 151:3 (2007),  391–404
18. Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras
    
    SIGMA, 2 (2006), 022, 11 pp.
19. Multicomponent NLS-Type Equations on Symmetric Spaces and Their Reductions
    
    TMF, 144:2 (2005),  313–323
20. Modeling Adiabatic $N$-Soliton Interactions and Perturbations
    
    TMF, 144:2 (2005),  302–312
21. The generalized Zakharov–Shabat system and the soliton perturbations
    
    TMF, 99:2 (1994),  292–299
22. Complete integrability, gauge equivalence and Lax representation of inhomogeneous nonlinear evolution equations
    
    TMF, 92:3 (1992),  374–386
23. On the multicomponent nonlinear Schrödinger equation in the case of non-vanishing boundary conditions
    
    Zap. Nauchn. Sem. LOMI, 131 (1983),  34–46
24. Hamiltonian structure of multicomponent nonlinear Schrödinger equations in difference form
    
    TMF, 52:1 (1982),  89–104
25. Hamiltonian structures for nonlinear evolution equations associated with polynomial bundles
    
    Zap. Nauchn. Sem. LOMI, 120 (1982),  55–68
26. Expansion in “square” eigenfunctions of matrix linear system
    
    Zap. Nauchn. Sem. LOMI, 101 (1981),  46–63
27. Expansions in products of solutions of two Dirac systems
    
    Mat. Zametki, 28:4 (1980),  501–512
28. Quadratic bundle and nonlinear equations
    
    TMF, 44:3 (1980),  342–357
29. Derivation of the Bäcklund transformation in the formalism of the inverse scattering problem
    
    TMF, 39:1 (1979),  69–74
30. Low-energy structure of the Feynman $S$-matrix
    
    TMF, 21:2 (1974),  183–194
31. Low-energy for photons and infrared divergences
    
    TMF, 18:1 (1974),  51–55