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Grahovski, Georgi G.

Author ID: grahovski.georgi-g Recent zbMATH articles by "Grahovski, Georgi G."
Published as: Grahovski, Georgi G.; Grahovski, G. G.; Grahovski, Georgi
External Links: ORCID
Documents Indexed: 33 Publications since 2000
Co-Authors: 12 Co-Authors with 30 Joint Publications
161 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 151 times in 95 Documents Cited by Year
The \(N\)-wave equations with \(\mathcal{PT}\) symmetry. Zbl 1351.35090
Gerdjikov, V. S.; Grahovski, G. G.; Ivanov, R. I.
20
2016
Grassmann extensions of Yang-Baxter maps. Zbl 1345.81055
Grahovski, G. G.; Konstantinou-Rizos, S.; Mikhailov, A. V.
14
2016
Reductions of \(N\)-wave interactions related to low-rank simple Lie algebras. I: \(\mathbb Z_2\)-reductions. Zbl 1001.37074
Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
14
2001
Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras. Zbl 1293.35297
Grahovski, Georgi G.; Mikhailov, Alexander V.
14
2013
Multicomponent NLS-type equations on symmetric spaces and their reductions. Zbl 1178.35347
Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
13
2005
On integrable wave interactions and Lax pairs on symmetric spaces. Zbl 1461.35180
Gerdjikov, Vladimir S.; Grahovski, Georgi G.; Ivanov, Rossen I.
11
2017
Polynomial bundles and generalised Fourier transforms for integrable equations on A.III-type symmetric spaces. Zbl 1248.37065
Gerdjikov, Vladimir S.; Grahovski, Georgi G.; Mikhailov, Alexander V.; Valchev, Tihomir I.
10
2011
Multi-component NLS models on symmetric spaces: spectral properties versus representations theory. Zbl 1218.37101
Gerdjikov, Vladimir S.; Grahovski, Georgi G.
7
2010
Nonlocal reductions of the Ablowitz-Ladik equation. Zbl 1405.37076
Grahovski, G. G.; Mohammed, A. J.; Susanto, H.
7
2018
Generalised Fourier transform and perturbations to soliton equations. Zbl 1181.37108
Grahovski, Georgi; Ivanov, Rossen
5
2009
On the Caudrey-Beals-Coifman system and the gauge group action. Zbl 1362.35261
Grahovski, Georgi G.; Condon, Marissa
5
2008
The Manakov system as two moving interacting curves. Zbl 1142.35086
Kostov, N. A.; Dandoloff, R.; Gerdjikov, V. S.; Grahovski, G. G.
3
2007
New integrable multi-component NLS type equations on symmetric spaces: \(\mathbb Z_4\) and \(\mathbb Z_6\) reductions. Zbl 1101.35070
Grahovski, Georgi G.; Gerdjikov, Vladimir S.; Kostov, Nikolay A.; Atanasov, Victor A.
3
2006
On the multi-component NLS type equations on symmetric spaces: reductions and soliton solutions. Zbl 1079.53075
Grahovski, Georgi G.; Gerdjikov, Vladimir S.; Kostov, Nikolay A.
3
2005
\(N\)-wave type systems and their gauge equivalent related to the orthogonal algebras. Zbl 1219.37051
Gerdjikov, Vladimir; Grahovski, Georgi; Kostov, Nikolay
3
2002
Fordy-Kulish model and spinor Bose-Einstein condensate. Zbl 1163.82006
Atanasov, V. A.; Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
3
2008
On \(N\)-wave and NLS type systems: generating operator and gauge group action. Zbl 1100.35522
Gerdjikov, V. S.; Grahovski, G. G.
2
2004
Nonlocal reductions of the multicomponent nonlinear Schrödinger equation on symmetric spaces. Zbl 1405.37077
Grahovski, G. G.; Mustafa, J. I.; Susanto, H.
2
2018
Two soliton interactions of BD.I multicomponent NLS equations and their gauge equivalent. Zbl 1232.35142
Gerdjikov, Vladimir S.; Grahovski, Georgi G.
2
2010
On soliton interactions for the hierarchy of a generalised Heisenberg ferromagnetic model on \(SU (3)/ S (U (1) \times U (2))\) symmetric space. Zbl 1259.82127
Gerdjikov, Vladimir; Grahovski, Georgi; Mikhailov, Alexander; Valchev, Tihomir
2
2012
On reductions and real Hamiltonian forms of affine Toda field theories. Zbl 1105.37041
Gerdjikov, Vladimir S.; Grahovski, Georgi G.
1
2005
On the reductions and scattering data for the CBC system. Zbl 1219.37050
Grahovski, Georgi
1
2002
On the reductions and scattering data for the generalized Zakharov-Shabat systems. Zbl 1053.37054
Grahovski, Georgi G.
1
2003
On the reductions and Hamiltonian structures of \(N\)-wave type equations. Zbl 1072.37050
Gerdjikov, Vladimir; Grahovski, Georgi; Kostov, Nikolay
1
2001
On the multi-component NLS type systems and their gauge equivalent: examples and reductions. Zbl 1116.35355
Gerdjikov, V. S.; Grahovski, G. G.
1
2004
Second order reductions of \(N\)-wave interactions related to low-rank simple Lie algebras. Zbl 0999.35037
Gerdjikov, Vladimir; Grahovski, Georgi; Kostov, Nikolay
1
2000
On the 3-wave equations with constant boundary conditions. Zbl 07697255
Gerdjikov, V. S.; Grahovski, G. G.
1
2012
The generalised Zakharov-Shabat system and the gauge group action. Zbl 1293.35296
Grahovski, Georgi G.
1
2012
Nonlocal reductions of the Ablowitz-Ladik equation. Zbl 1405.37076
Grahovski, G. G.; Mohammed, A. J.; Susanto, H.
7
2018
Nonlocal reductions of the multicomponent nonlinear Schrödinger equation on symmetric spaces. Zbl 1405.37077
Grahovski, G. G.; Mustafa, J. I.; Susanto, H.
2
2018
On integrable wave interactions and Lax pairs on symmetric spaces. Zbl 1461.35180
Gerdjikov, Vladimir S.; Grahovski, Georgi G.; Ivanov, Rossen I.
11
2017
The \(N\)-wave equations with \(\mathcal{PT}\) symmetry. Zbl 1351.35090
Gerdjikov, V. S.; Grahovski, G. G.; Ivanov, R. I.
20
2016
Grassmann extensions of Yang-Baxter maps. Zbl 1345.81055
Grahovski, G. G.; Konstantinou-Rizos, S.; Mikhailov, A. V.
14
2016
Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras. Zbl 1293.35297
Grahovski, Georgi G.; Mikhailov, Alexander V.
14
2013
On soliton interactions for the hierarchy of a generalised Heisenberg ferromagnetic model on \(SU (3)/ S (U (1) \times U (2))\) symmetric space. Zbl 1259.82127
Gerdjikov, Vladimir; Grahovski, Georgi; Mikhailov, Alexander; Valchev, Tihomir
2
2012
On the 3-wave equations with constant boundary conditions. Zbl 07697255
Gerdjikov, V. S.; Grahovski, G. G.
1
2012
The generalised Zakharov-Shabat system and the gauge group action. Zbl 1293.35296
Grahovski, Georgi G.
1
2012
Polynomial bundles and generalised Fourier transforms for integrable equations on A.III-type symmetric spaces. Zbl 1248.37065
Gerdjikov, Vladimir S.; Grahovski, Georgi G.; Mikhailov, Alexander V.; Valchev, Tihomir I.
10
2011
Multi-component NLS models on symmetric spaces: spectral properties versus representations theory. Zbl 1218.37101
Gerdjikov, Vladimir S.; Grahovski, Georgi G.
7
2010
Two soliton interactions of BD.I multicomponent NLS equations and their gauge equivalent. Zbl 1232.35142
Gerdjikov, Vladimir S.; Grahovski, Georgi G.
2
2010
Generalised Fourier transform and perturbations to soliton equations. Zbl 1181.37108
Grahovski, Georgi; Ivanov, Rossen
5
2009
On the Caudrey-Beals-Coifman system and the gauge group action. Zbl 1362.35261
Grahovski, Georgi G.; Condon, Marissa
5
2008
Fordy-Kulish model and spinor Bose-Einstein condensate. Zbl 1163.82006
Atanasov, V. A.; Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
3
2008
The Manakov system as two moving interacting curves. Zbl 1142.35086
Kostov, N. A.; Dandoloff, R.; Gerdjikov, V. S.; Grahovski, G. G.
3
2007
New integrable multi-component NLS type equations on symmetric spaces: \(\mathbb Z_4\) and \(\mathbb Z_6\) reductions. Zbl 1101.35070
Grahovski, Georgi G.; Gerdjikov, Vladimir S.; Kostov, Nikolay A.; Atanasov, Victor A.
3
2006
Multicomponent NLS-type equations on symmetric spaces and their reductions. Zbl 1178.35347
Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
13
2005
On the multi-component NLS type equations on symmetric spaces: reductions and soliton solutions. Zbl 1079.53075
Grahovski, Georgi G.; Gerdjikov, Vladimir S.; Kostov, Nikolay A.
3
2005
On reductions and real Hamiltonian forms of affine Toda field theories. Zbl 1105.37041
Gerdjikov, Vladimir S.; Grahovski, Georgi G.
1
2005
On \(N\)-wave and NLS type systems: generating operator and gauge group action. Zbl 1100.35522
Gerdjikov, V. S.; Grahovski, G. G.
2
2004
On the multi-component NLS type systems and their gauge equivalent: examples and reductions. Zbl 1116.35355
Gerdjikov, V. S.; Grahovski, G. G.
1
2004
On the reductions and scattering data for the generalized Zakharov-Shabat systems. Zbl 1053.37054
Grahovski, Georgi G.
1
2003
\(N\)-wave type systems and their gauge equivalent related to the orthogonal algebras. Zbl 1219.37051
Gerdjikov, Vladimir; Grahovski, Georgi; Kostov, Nikolay
3
2002
On the reductions and scattering data for the CBC system. Zbl 1219.37050
Grahovski, Georgi
1
2002
Reductions of \(N\)-wave interactions related to low-rank simple Lie algebras. I: \(\mathbb Z_2\)-reductions. Zbl 1001.37074
Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
14
2001
On the reductions and Hamiltonian structures of \(N\)-wave type equations. Zbl 1072.37050
Gerdjikov, Vladimir; Grahovski, Georgi; Kostov, Nikolay
1
2001
Second order reductions of \(N\)-wave interactions related to low-rank simple Lie algebras. Zbl 0999.35037
Gerdjikov, Vladimir; Grahovski, Georgi; Kostov, Nikolay
1
2000
all top 5

Cited by 113 Authors

13 Gerdzhikov, Vladimir Stefanov
9 Grahovski, Georgi G.
9 Ivanov, Rossen I.
8 Gürses, Metin
8 Konstantinou-Rizos, Sotiris
7 Pekcan, Asli
5 Valchev, Tihomir I.
4 Kassotakis, Pavlos G.
3 Guan, Chunxia
3 Kostov, Nikolay A.
3 Liu, Qingping
3 Ma, Wen-Xiu
3 Matveev, Vladimir B.
3 Myrzakulov, Ratbay
3 Papamikos, Georgios A.
3 Smirnov, Alexander O.
3 Todorov, Michail D.
2 Ablowitz, Mark Jay
2 Adamopoulou, Panagiota
2 Chen, Junchao
2 Feng, Baofeng
2 Han, Jingwei
2 He, Jingsong
2 Kyuldjiev, Assen V.
2 Luo, Xudan
2 Mao, Hui
2 Musslimani, Ziad H.
2 Myrzakul, Akbota
2 Nieszporski, Maciej
2 Papageorgiou, Vassilios G.
2 Saleem, Umair
2 Tian, Kai
2 Tongas, Anastasios G.
2 Xue, Lingling
2 Yan, Zhenya
2 Yanovski, Aleksandar B.
2 Yin, Zhaoyang
2 Yu, Jing
2 Zhang, Guoqiang
2 Zheltukhin, Kostyantyn
2 Zhou, Ruguang
1 Al-Omari, Shrideh Khalaf Qasem
1 Al-Smadi, Mohammed H.
1 Alqaraleh, Sahar M.
1 An, Licong
1 Arnaudon, Alexis
1 Atanasov, Victor A.
1 Babalic, Corina N.
1 Cârstea, Adrian Ştefan
1 Cheng, Yi
1 Compelli, Alan C.
1 Condon, Marissa
1 Constantin, Adrian
1 Cullen, Joseph D.
1 Doikou, Anastasia
1 Doliwa, Adam
1 Dong, Huanhe
1 Fan, Engui
1 Fisenko, X.
1 Guo, Boling
1 Han, Lijun
1 Hanif, Y.
1 Holm, Darryl Dallas
1 Igonin, Sergeĭ Aleksandrovich
1 Jin, Yongyang
1 Joshi, Nalini
1 Kouloukas, Theodoros E.
1 Li, Nianhua
1 Ling, Liming
1 Liu, Tongshuai
1 Lombardo, Sara
1 Lou, Senyue
1 Malham, Simon J. A.
1 Meng, Dexin
1 Michor, Johanna
1 Mihalache, Dumitru
1 Mikhailov, Alexander Vasil’evich
1 Mohammed, Arkan Jassim
1 Momani, Shaher M.
1 Mustafa, J. I.
1 Myrzakulova, Zhaidary
1 Noumi, Masatoshi
1 Nugmanova, Gulgassyl
1 Popivanov, Petar Radoev
1 Preobrazhenskaia, M. M.
1 Qin, Zhenyun
1 Rao, Jiguang
1 Sakhnovich, Alexander L.
1 Sanders, Jan A.
1 Sarfraz, H.
1 Slavova, Angela
1 Sonnier, W. Josh
1 Stefanov, Aleksander A.
1 Stępień, Łukasz T.
1 Stylianidis, Ioannis
1 Talafha, Adeeb G.
1 Wang, Jingping
1 Wang, Xin
1 Wen, Xiaoyong
1 Wu, Derchyi
...and 13 more Authors
all top 5

Cited in 38 Serials

10 Theoretical and Mathematical Physics
9 Physics Letters. A
6 Journal of Mathematical Physics
5 Wave Motion
5 Journal of Nonlinear Mathematical Physics
4 Studies in Applied Mathematics
4 Physica D
4 Nonlinear Analysis. Real World Applications
4 Journal of Physics A: Mathematical and Theoretical
3 Nonlinearity
3 Nuclear Physics. B
3 Communications in Nonlinear Science and Numerical Simulation
2 Communications in Mathematical Physics
2 Chaos, Solitons and Fractals
2 Journal of Geometry and Physics
2 Nonlinear Dynamics
2 International Journal of Geometric Methods in Modern Physics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Modern Physics Letters A
1 Modern Physics Letters B
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematische Nachrichten
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Journal of Nonlinear Science
1 Fractals
1 Discrete and Continuous Dynamical Systems
1 Communications on Pure and Applied Analysis
1 Advances in Difference Equations
1 Journal of Geometry and Symmetry in Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Communications in Theoretical Physics
1 Advances in Mathematical Physics
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Journal of Computational Dynamics
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year