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Article

Gerdjikov, Vladimir S and Grahovski, Georgi G (2024) On the N-waves hierarchy with constant boundary conditions. Spectral properties. International Journal of Geometric Methods in Modern Physics, 21 (10). DOI https://doi.org/10.1142/S0219887824400152

Vatansever, Erol and Grahovski, Georgi G and Fytas, Nikolaos G (2023) Thermodynamic properties of disordered quantum spin ladders. European Physical Journal B: Condensed Matter and Complex Systems, 97 (3). 34-. DOI https://doi.org/10.1140/epjb/s10051-024-00669-5

Gerdjikov, Vladimir and Grahovski, Georgi and Stefanov, Alexander (2022) Real Hamiltonian forms of affine Toda field theories: spectral aspects. Theoretical and Mathematical Physics, 212 (2). pp. 1053-1072. DOI https://doi.org/10.1134/S0040577922080037

Grahovski, Georgi G and Mustafa, Junaid I and Susanto, Hadi (2018) Nonlocal Reductions of The Multicomponent Nonlinear Schrödinger Equation on Symmetric Spaces. Theoretical and Mathematical Physics, 197 (1). pp. 1430-1450. DOI https://doi.org/10.1134/s0040577918100033

Grahovski, GG and Mohammed, AJ and Susanto, H (2018) Nonlocal Reductions of the Ablowitz–Ladik Equation. Theoretical and Mathematical Physics, 197 (1). pp. 1412-1429. DOI https://doi.org/10.1134/s0040577918100021

Gerdjikov, Vladimir S and Grahovski, Georgi G and Ivanov, Rossen I (2017) On integrable wave interactions and Lax pairs on symmetric spaces. Wave Motion, 71. pp. 53-70. DOI https://doi.org/10.1016/j.wavemoti.2016.07.012

Gerdjikov, VS and Grahovski, GG and Ivanov, RI (2016) The N-wave equations with PT symmetry. Theoretical and Mathematical Physics, 188 (3). pp. 1305-1321. DOI https://doi.org/10.1134/s0040577916090038

Grahovski, GG and Konstantinou-Rizos, S and Mikhailov, AV (2016) Grassmann extensions of Yang–Baxter maps. Journal of Physics A: Mathematical and Theoretical, 49 (14). p. 145202. DOI https://doi.org/10.1088/1751-8113/49/14/145202

Grahovski, GG and Mikhailov, AV and Konstantinou-Rizos, S (2015) A non-commutative extension of the Adler-Yamilov Yang-Baxter map. Bull. Chechen State University, 17. pp. 33-39.

Grahovski, Georgi G and Mikhailov, Alexander V (2013) Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras. Physics Letters A, 377 (45-48). pp. 3254-3259. DOI https://doi.org/10.1016/j.physleta.2013.10.018

Grahovski, Georgi G (2012) The generalised Zakharov–Shabat system and the gauge group action. Journal of Mathematical Physics, 53 (7). 073512-073512. DOI https://doi.org/10.1063/1.4732512

Gerdjikov, Vladimir and Grahovski, Georgi and Ivanov, Rossen (2012) On the integrability of KdV hierarchy with self-consistent sources. Communications on Pure and Applied Analysis, 11 (4). pp. 1439-1452. DOI https://doi.org/10.3934/cpaa.2012.11.1439

Gerdjikov, Vladimir and Grahovski, Georgi and Mikhailov, Alexander (2012) On Soliton Interactions for the Hierarchy of a Generalised Heisenberg Ferromagnetic Model on Symmetric Space. Journal of Geometry and Symmetry in Physics, 25 (MARCH). pp. 23-55. DOI https://doi.org/10.7546/jgsp-25-2012-23-55

Gerdjikov, VS and Grahovski, GG and Mikhailov, AV and Valchev, TI (2011) Rational bundles and recursion operators for integrable equations on A.III-type symmetric spaces. Theoretical and Mathematical Physics, 167 (3). pp. 740-750. DOI https://doi.org/10.1007/s11232-011-0058-2

Grahovski, Georgi and Ivanov, Rossen (2009) Generalised Fourier transform and perturbations to soliton equations. Discrete & Continuous Dynamical Systems - B, 12 (3). pp. 579-595. DOI https://doi.org/10.3934/dcdsb.2009.12.579

Atanasov, VA and Gerdjikov, VS and Grahovski, GG and Kostov, NA (2008) Fordy-Kulish model and spinor Bose-Einstein condensate. Journal of Nonlinear Mathematical Physics, 15 (3). p. 291. DOI https://doi.org/10.2991/jnmp.2008.15.3.3

Grahovski, Georgi G and Condon, Marissa (2008) On the Caudrey-Beals-Coifman System and the Gauge Group Action. Journal of Nonlinear Mathematical Physics, 15 (supple). p. 197. DOI https://doi.org/10.2991/jnmp.2008.15.s3.20

Condon, M and Grahovski, G and Deschrijver, D (2008) Causal and stable reduced-order model for linear high-frequency systems. Electronics Letters, 44 (14). p. 843. DOI https://doi.org/10.1049/el:20080733

Monograph

Dandoloff, Rossen and Grahovski, Georgi G (2006) An Exactly Solvable Case for a Thin Elastic Rod. Working Paper. UNSPECIFIED. (Unpublished)

Grahovski, GG and Gerdjikov, VS and Kostov, NA and Atanasov, VA (2006) New Integrable Multi-Component NLS Type Equations on Symmetric Spaces: Z_4 and Z_6 Reductions. Working Paper. Arxiv. (Unpublished)

Conference or Workshop Item

Condon, Marissa and Grahovski, Georgi G (2009) Model Reduction of Weakly Nonlinear Systems. In: UNSPECIFIED, ? - ?.

Book

Aneva, BL and Grahovski, GG and Ivanov, RI and Mladenov, DM (2014) Integrability, Recursion Operators and Soliton Interactions. Avangard Prima, Sofia. ISBN 978- 619-160-313-8.