L. D. Faddeev, “The new life of complete integrability”, UFN, 183:5 (2013), 487–495; Phys. Usp., 56:5 (2013), 465

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Uspekhi Fizicheskikh Nauk, 2013, Volume 183, Number 5, Pages 487–495
DOI: https://doi.org/10.3367/UFNr.0183.201305b.0487 (Mi ufn4641)

This article is cited in 19 scientific papers (total in 19 papers)

PHYSICS OF OUR DAYS

The new life of complete integrability

L. D. Faddeev

St. Petersburg Division, Steklov Mathematical Institute, Russian Academy of Sciences

Full-text PDF (862 kB) Citations (19)

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DOI: https://doi.org/10.3367/UFNr.0183.201305b.0487

Abstract: We briefly review new trends in how the notion of complete integrability of dynamical systems and their quantum versions have developed over the last four decades. We describe а new technique for working with integrable models and outline its main applications.

Received: February 21, 2013
Accepted: February 27, 2013

English version:
Physics–Uspekhi, 2013, Volume 56, Issue 5, Pages 465–472
DOI: https://doi.org/10.3367/UFNe.0183.201305b.0487

Bibliographic databases:

Document Type: Article

PACS: 02.30.Ik, 45.20.Jj, 75.10.Pq

Language: Russian

Citation: L. D. Faddeev, “The new life of complete integrability”, UFN, 183:5 (2013), 487–495; Phys. Usp., 56:5 (2013), 465–472

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https://www.mathnet.ru/eng/ufn4641

https://www.mathnet.ru/eng/ufn/v183/i5/p487

This publication is cited in the following 19 articles:

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Alexandra S. Sheremet, Mihail I. Petrov, Ivan V. Iorsh, Alexander V. Poshakinskiy, Alexander N. Poddubny, “Waveguide quantum electrodynamics: Collective radiance and photon-photon correlations”, Rev. Mod. Phys., 95:1 (2023)
Leon A. Takhtajan, “Ludwig Dmitrievich Faddeev. 23 March 1934—26 February 2017”, Biogr. Mems Fell. R. Soc., 73 (2022), 251
Poshakinskiy V A., Zhong J., Poddubny A.N., “Quantum Chaos Driven By Long-Range Waveguide-Mediated Interactions”, Phys. Rev. Lett., 126:20 (2021), 203602
S. V. Sazonov, N. V. Ustinov, “Nonlinear Dynamics of Extremely Short Solitons of the Generalized Reduced Maxwell–Bloch System”, Bull. Russ. Acad. Sci. Phys., 84:1 (2020), 5
Gahromanov I., Jafarzade Sh., “Comments on the Multi-Spin Solution to the Yang-Baxter Equation and Basic Hypergeometric Sum/Integral Identity”, Mod. Phys. Lett. A, 34:18 (2019), 1950140
P. N. Bibikov, “Bethe ansatz for two-magnon scattering states in 2D and 3D Heisenberg-Ising ferromagnets”, J. Stat. Mech.-Theory Exp., 2018, 043108
G. R. Ivanitskii, “The robot and the human. Where's their similarity limit?”, Phys. Usp., 61:9 (2018), 871–895
S. V. Sazonov, N. V. Ustinov, “Two-Dimensional Dynamics of Solitons under the Conditions of Zakharov–Benney Resonance”, Bull. Russ. Acad. Sci. Phys., 82:11 (2018), 1359
S. V. Sazonov, N. V. Ustinov, “Nonlinear propagation of vector extremely short pulses in a medium of symmetric and asymmetric molecules”, J. Exp. Theor. Phys., 124:2 (2017), 213–230
L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Russian Math. Surveys, 72:6 (2017), 977–1081
Anisovich V.V., Matveev M.A., Nikonov V.A., “Hadron diffractive production at ultrahigh energies and shadow effects”, Int. J. Mod. Phys. A, 31:28-29, SI (2016), 1645019
Amiranashvili Sh., “Hamiltonian Framework for Short Optical Pulses”, New Approaches to Nonlinear Waves, Lecture Notes in Physics, 908, ed. Tobisch E., Springer-Verlag Berlin, 2016, 153–196
V. V. Anisovich, M. A. Matveev, V. A. Nikonov, “Diffractive hadron production at ultrahigh energies”, Int. J. Mod. Phys. A, 2015, 1550054
N. M. Bogolyubov, K. L. Malyshev, “Integrable models and combinatorics”, Russian Math. Surveys, 70:5 (2015), 789–856
S. V. Sazonov, N. V. Ustinov, “Vector acoustic solitons from the coupling of long and short waves in a paramagnetic crystal”, Theoret. and Math. Phys., 178:2 (2014), 202–222
Takayuki Sekiya, Yoshitatsu Matsuda, Kazunori Yamaguchi, 2014 IEEE International Conference on Teaching, Assessment and Learning for Engineering (TALE), 2014, 33
V.A. Podchukaev, G.I. Peredelsky, A.V. Filonovich, 2014 12th International Conference on Actual Problems of Electronics Instrument Engineering (APEIE), 2014, 35
S. V. Sazonov, N. V. Ustinov, “Dynamics of vector acoustic solitons under nonlinear interaction between long and short waves”, Bull. Russ. Acad. Sci. Phys, 77:12 (2013), 1479

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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