## Bibikov, P. N.

Compute Distance To:
 Author ID: bibikov.p-n Published as: Bibikov, P. N.
 Documents Indexed: 18 Publications since 1989 Co-Authors: 3 Co-Authors with 4 Joint Publications 141 Co-Co-Authors

### Co-Authors

 14 single-authored 2 Kulish, Petr Petrovich 1 Prokhorov, Lev V. 1 Tarasov, Vitaly Olegovich
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### Serials

 4 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Mathematical Sciences (New York) 3 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Modern Physics B 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 Annals of Physics 1 Journal of Physics A: Mathematical and General 1 Zapiski Nauchnykh Seminarov POMI 1 Analysis and Mathematical Physics
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### Fields

 11 Statistical mechanics, structure of matter (82-XX) 8 Quantum theory (81-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

9 Publications have been cited 31 times in 27 Documents Cited by Year
Dirac operators on the quantum group SU(2) and the quantum sphere. Zbl 0954.58004
Bibikov, P. N.; Kulish, P. P.
1997
Boundary-value problem for nonlinear Schrödinger equation. Zbl 0696.35169
Bibikov, P. N.; Tarasov, V. O.
1989
A three-magnon problem for exactly rung-dimerized spin ladders: from a general outlook to the Bethe ansatz. Zbl 1179.82048
Bibikov, P. N.
2009
The three-magnon problem and integrability of rung-dimerized spin ladders. Zbl 1288.82021
Bibikov, P. N.; Kulish, P. P.
2010
Dirac operator, bicovariant differential calculus and gauge theory on $$\kappa$$-Minkowski space. Zbl 0930.58002
Bibikov, P. N.
1998
Second cluster integral from the spectrum of an infinite $$X X Z$$ spin chain. Zbl 1377.82010
Bibikov, P. N.
2015
Mechanics not on a manifold. Zbl 1156.81435
Bibikov, P. N.; Prokhorov, L. V.
2009
How to solve Yang-Baxter equation using the Taylor expansion of R-matrix. Zbl 1034.81023
Bibikov, P. N.
2003
Three magnons in an isotropic $$S = 1$$ ferromagnetic chain as an exactly solvable non-integrable system. Zbl 1456.82230
Bibikov, P. N.
2016
Three magnons in an isotropic $$S = 1$$ ferromagnetic chain as an exactly solvable non-integrable system. Zbl 1456.82230
Bibikov, P. N.
2016
Second cluster integral from the spectrum of an infinite $$X X Z$$ spin chain. Zbl 1377.82010
Bibikov, P. N.
2015
The three-magnon problem and integrability of rung-dimerized spin ladders. Zbl 1288.82021
Bibikov, P. N.; Kulish, P. P.
2010
A three-magnon problem for exactly rung-dimerized spin ladders: from a general outlook to the Bethe ansatz. Zbl 1179.82048
Bibikov, P. N.
2009
Mechanics not on a manifold. Zbl 1156.81435
Bibikov, P. N.; Prokhorov, L. V.
2009
How to solve Yang-Baxter equation using the Taylor expansion of R-matrix. Zbl 1034.81023
Bibikov, P. N.
2003
Dirac operator, bicovariant differential calculus and gauge theory on $$\kappa$$-Minkowski space. Zbl 0930.58002
Bibikov, P. N.
1998
Dirac operators on the quantum group SU(2) and the quantum sphere. Zbl 0954.58004
Bibikov, P. N.; Kulish, P. P.
1997
Boundary-value problem for nonlinear Schrödinger equation. Zbl 0696.35169
Bibikov, P. N.; Tarasov, V. O.
1989
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### Cited by 36 Authors

 5 Bibikov, P. N. 4 Lotfizadeh, M. 3 Khabibullin, Ismagil Talgatovich 2 Caudrelier, Vincent 2 Crampé, Nicolas 2 Dabrowski, Ludwik 2 Gürses, Metin 2 Sitarz, Andrzej 1 Angulo Pava, Jaime 1 Avan, Jean 1 D’Andrea, Francesco 1 Feyzi, R. 1 Gürel, Burak 1 Harikumar, E. 1 Harju, Antti J. 1 Iochum, Bruno 1 Kitanine, Nikolai 1 Kulish, Petr Petrovich 1 Landi, Giovanni 1 Levy, Cyril 1 Mickelsson, Jouko 1 Nepomechie, Rafael I. 1 Pandžić, Pavle 1 Plaza, Ramón G. 1 Pomoni, Elli 1 Rabe, Randle 1 Reshetikhin, Nikolai Yu. 1 Shen, Yunyi 1 Somberg, Petr 1 van Suijlekom, Walter Daniël 1 Várilly, Joseph C. 1 Wu, Quanshui S. 1 Xia, Baoqiang 1 Zheltukhin, Kostyantyn 1 Zhou, Ruguang 1 Zoubos, Konstantinos
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### Cited in 17 Serials

 8 Journal of Mathematical Physics 2 Communications in Mathematical Physics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Physics A: Mathematical and Theoretical 1 Modern Physics Letters A 1 International Journal of Modern Physics B 1 Mathematical Notes 1 Nuclear Physics. B 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Annals of Physics 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Journal of High Energy Physics 1 Journal of the Australian Mathematical Society 1 Science China. Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Cited in 19 Fields

 15 Quantum theory (81-XX) 9 Nonassociative rings and algebras (17-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Partial differential equations (35-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Algebraic geometry (14-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 General topology (54-XX)