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1988, Encyclopaedia of mathematical sciences, ISBN 3540170014, Volume 1-2, <6, 16, 39, 66 >, v. <1-9; in 10 >
Book
Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 4/2015, Volume 112, Issue 14, pp. 4208 - 4213
We study the original -Fermi–Pasta–Ulam (FPU) system with = 16, 32, and 64 masses connected by a nonlinear quadratic spring. Our approach is based on resonant... 
Wave-wave interactions | α-Fermi-Pasta-Ulam chain | FPU recurrence | Resonant interactions | Thermalization | CHAIN | resonant interactions | HAMILTONIAN-SYSTEMS | MULTIDISCIPLINARY SCIENCES | alpha-Fermi-Pasta-Ulam chain | wave-wave interactions | SURFACE | thermalization | LIMIT | EQUIPARTITION | wave–wave interactions | Physical Sciences | α-Fermi–Pasta–Ulam chain
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 2/2018, Volume 91, Issue 3, pp. 1677 - 1680
The search for new integrable $$(3+1)$$ (3+1) -dimensional partial differential systems is among the most important challenges in the modern integrability... 
Engineering | Vibration, Dynamical Systems, Control | Classical Mechanics | Contact Lax pairs | Automotive Engineering | Mechanical Engineering | Multidimensional integrable systems | Dispersionless systems | MECHANICS | SOLITONS | ENGINEERING, MECHANICAL | Rational functions
Journal Article
Physics Letters A, ISSN 0375-9601, 2008, Volume 372, Issue 48, pp. 7129 - 7132
The interest in the Camassa–Holm equation inspired the search for various generalizations of this equation with interesting properties and applications. In... 
BREAKING | TRAVELING-WAVE SOLUTIONS | PHYSICS, MULTIDISCIPLINARY | STABILITY | TRAJECTORIES | DYNAMICS | PEAKED SOLITONS | EQUATION | Physics - Exactly Solvable and Integrable Systems | Mathematics | Naturvetenskap | Natural Sciences | Matematik
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 03/2011, Volume 44, Issue 10, pp. 103001 - 146
Journal Article
Physical Review Letters, ISSN 0031-9007, 2019, Volume 122, Issue 4, p. 043901
It is known that the Manakov equation which describes wave propagation in two mode optical fibers, photorefractive materials, etc., can admit solitons which... 
FIBERS | STATES | WAVES | SHAPE | PHYSICS, MULTIDISCIPLINARY | PARTIALLY COHERENT SOLITONS | STABILITY | DISSIPATIVE SOLITONS | SPATIAL SOLITONS | PULSES | BRIGHT | Optical fibers | Wave propagation | Wavelengths | Photorefractivity | Solitary waves | Collision dynamics | Propagation modes
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 3/2017, Volume 2017, Issue 3, pp. 1 - 29
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 10/2018, Volume 376, Issue 2131, p. 20170428
In this paper, we show that the Ginzburg-Weinstein diffeomorphism u(n)* -> U(n)* of Alekseev & Meinrenken (Alekseev, Meinrenken 2007 J. Differential Geom. 76,... 
Integrable systems | Gelfand-Zeitlin | Tropicalization | Poisson geometry | Poisson-Lie groups | LIE-GROUPS | tropicalization | POISSON | MULTIDISCIPLINARY SCIENCES | TORIC DEGENERATIONS | integrable systems | Mathematics - Symplectic Geometry | 1008 | 112 | Gelfand–Zeitlin | Poisson–Lie groups
Journal Article
Physics Letters A, ISSN 0375-9601, 2008, Volume 372, Issue 15, pp. 2634 - 2639
K 2 S 2 T [A. Karasu-Kalkani, A. Karasu, A. Sakovich, S. Sakovich, R. Turhan, nlin/0708.3247] recently derived a new 6th-order wave equation KdV6: ( ∂ x 2 + 8... 
PHYSICS, MULTIDISCIPLINARY | Physics - Exactly Solvable and Integrable Systems
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 2/2018, Volume 108, Issue 2, pp. 359 - 376
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 10/2017, Volume 355, Issue 2, pp. 741 - 766
We present a linear system of difference equations whose entries are expressed in terms of theta functions. This linear system is singular at $${4m+12}$$ 4 m +... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | DIFFERENTIAL-EQUATIONS | 2ND-ORDER | PHYSICS, MATHEMATICAL | GEOMETRY
Journal Article
Journal of High Energy Physics, ISSN 1029-8479, 2/2019, Volume 2019, Issue 2, pp. 1 - 36
Journal Article
LETTERS IN MATHEMATICAL PHYSICS, ISSN 0377-9017, 05/2020, Volume 110, Issue 5, pp. 969 - 999
We propose quantum Hamiltonians of the double-elliptic many-body integrable system (DELL) and study its spectrum. These Hamiltonians are certain elliptic... 
Supersymmetric gauge theories | Elliptic cohomology | Quantum K-theory | DUALITY | Integrable systems | PHYSICS, MATHEMATICAL | Quantum hydrodynamics | Geometric representation theory
Journal Article
Physics Letters A, ISSN 0375-9601, 06/2019, Volume 383, Issue 18, pp. 2149 - 2152
We show how to deform separable Hénon-Heiles system with isospectral Lax representation, related with the stationary flow of the 5th-order KdV, to respective... 
Frobenius integrable systems | Painlevé equations | Non-autonomous Hamiltonian systems | Isomonodromic Lax representation
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 02/2018, Volume 364, pp. 27 - 61
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 01/2016, Volume 51, pp. 60 - 67
In the present paper, the prolongation technique and Painlevé analysis are performed to a two-component Korteweg–de Vries system. It is proved that this system... 
Fission and fusion behaviors | Painlevé test | Prolongation structure | Auto-Bäcklund transformation | Lax integrable | Painleve test | MATHEMATICS, APPLIED | KDV SYSTEMS | EQUATIONS | PAINLEVE PROPERTY | Auto-Backlund transformation | Algebra
Journal Article
Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 2016, Volume 6, Issue 6, pp. 1 - 51
We review recent progress in understanding the notion of locality in integrable quantum lattice systems. The central concept concerns the so-called quasilocal... 
MANY-BODY SYSTEM | ladders and planes | GROUND-STATE | FIELD-THEORIES | THERMODYNAMIC LIMIT | integrable spin chains and vertex models | quantum quenches | quantum transport in one-dimension | PHYSICS, MATHEMATICAL | HUBBARD-MODEL | MECHANICS | DELTA-FUNCTION INTERACTION | QUANTUM-SYSTEMS | CONSERVATION-LAWS | FINITE-TEMPERATURE | spin chains | HEISENBERG-MODEL
Journal Article