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Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 06/2009, Volume 42, Issue 24, pp. 242001 - 242001 (10)
An infinite family of exactly solvable and integrable potentials on a plane is introduced. It is shown that all already known rational potentials with the... 
LIE-ALGEBRAS | MECHANICS | PHYSICS, MULTIDISCIPLINARY | EXACT SOLVABILITY | 2 COMPLEX-VARIABLES | PHYSICS, MATHEMATICAL | DIFFERENTIAL-OPERATORS
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
Physical Review Letters, ISSN 0031-9007, 07/2013, Volume 111, Issue 5, p. 054101
We study the nonlinear stage of the modulation instability of a condensate in the framework of the focusing nonlinear Schrodinger equation (NLSE). We find a... 
PEREGRINE SOLITON | FIBER | WAVE SOLUTIONS | PHYSICS, MULTIDISCIPLINARY | SCHRODINGER-EQUATION | WATER | Physics - Exactly Solvable and Integrable Systems
Journal Article
Physical Review Letters, ISSN 0031-9007, 07/2012, Volume 109, Issue 4, p. 044102
We construct and discuss a semirational, multiparametric vector solution of coupled nonlinear Schrodinger equations (Manakov system). This family of solutions... 
FIBER | PHYSICS, MULTIDISCIPLINARY | SPATIAL-SOLITON PAIRS | Exactly Solvable and Integrable Systems | Nonlinear Sciences | Pattern Formation and Solitons
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
Physical Review Letters, ISSN 0031-9007, 07/2014, Volume 113, Issue 3, p. 034101
We report and discuss analytical solutions of the vector nonlinear Schrodinger equation that describe rogue waves in the defocusing regime. This family of... 
PHYSICS, MULTIDISCIPLINARY | Optics | Nonlinear Sciences | Pattern Formation and Solitons | Exactly Solvable and Integrable Systems | Physics
Journal Article
Physical Review Letters, ISSN 0031-9007, 12/2008, Volume 101, Issue 26, p. 264103
We consider oscillator ensembles consisting of subpopulations of identical units, with a general heterogeneous coupling between subpopulations. Using the... 
PHYSICS, MULTIDISCIPLINARY
Journal Article
Journal of Statistical Mechanics: Theory and Experiment, 03/2016, Volume 2016, Issue 3
J. Stat. Mech. 033109 (2016) It is shown that a generalization of Bethe Ansatz based on an utilization of {\it degenerative discrete-diffractive} wave... 
integrable spin chains (vertex models) | ladders and planes (theory) | spin chains
Journal Article
Scientific Reports, ISSN 2045-2322, 12/2017, Volume 7, Issue 1, pp. 869 - 11
In natural and social science, many events happened at different space-times may be closely correlated. Two events, A (Alice) and B (Bob) are defined... 
EQUATIONS | MULTIDISCIPLINARY SCIENCES | Parity
Journal Article
Physics Letters A, ISSN 0375-9601, 2008, Volume 372, Issue 15, pp. 2634 - 2639
[A. Karasu-Kalkani, A. Karasu, A. Sakovich, S. Sakovich, R. Turhan, ] recently derived a new 6th-order wave equation KdV6: , found a linear problem and an... 
PHYSICS, MULTIDISCIPLINARY | Physics - Exactly Solvable and Integrable Systems
Journal Article
Optics Express, ISSN 1094-4087, 11/2013, Volume 21, Issue 22, pp. 25685 - 25699
We study the properties of nonlinear interference noise (NLIN) in fiber-optic communications systems with large accumulated dispersion. Our focus is on... 
TRANSMISSION | COMPENSATION | SYSTEMS | LIMIT | OPTICS | PROPAGATION | COMMUNICATION
Journal Article
Physical Review Letters, ISSN 0031-9007, 05/2018, Volume 120, Issue 20, p. 204504
Relative motion of the normal and superfluid components of helium II results in the quantum Kelvin-Helmholtz instability (KHI) at their common free surface. We... 
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 04/2010, Volume 81, Issue 4, p. 046602
The Hirota equation is a modified nonlinear Schroumldinger equation (NLSE) that takes into account higher-order dispersion and time-delay corrections to the... 
MODULATION INSTABILITY | NONLINEAR SCHRODINGER-EQUATION | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | ENVELOPE | WATER
Journal Article
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, ISSN 0308-2105, 04/2019, pp. 1 - 30
AbstractThe unified transform method (UTM) or Fokas method for analyzing initial-boundary value (IBV) problems provides an important generalization of the... 
Journal Article
Physical Review Letters, ISSN 0031-9007, 09/2013, Volume 111, Issue 11, p. 114101
We introduce a novel family of analytic solutions of the three-wave resonant interaction equations for the purpose of modeling unique events, i.e., "amplitude... 
PHYSICS, MULTIDISCIPLINARY | LINEAR SCHRODINGER-EQUATIONS | SOLITONS | Optics | Nonlinear Sciences | Pattern Formation and Solitons | Exactly Solvable and Integrable Systems | Physics
Journal Article
Physics Letters B, ISSN 0370-2693, 07/2018, Volume 782, pp. 613 - 618
By employing CFT techniques, we show how to compute in the context of -deformations of current algebras and coset CFTs the exact in the deformation parameters... 
High Energy Physics | Mathematical Physics | Theory | High Energy Physics - Theory | Physics | Nonlinear Sciences - Exactly Solvable and Integrable Systems
Journal Article
Physics Letters B, ISSN 0370-2693, 04/2015, Volume 743, p. 160
The all-loop anisotropic Thirring model interpolates between the WZW model and the non-Abelian T-dual of the anisotropic principal chiral model. We focus on... 
Anisotropy | Analysis | Algebra
Journal Article
Journal of the Physical Society of Japan, ISSN 0031-9015, 2018, Volume 87, Issue 10, p. 104004
Based on the Lax compatibility, the negative-order coupled Harry-Dym (ncHD) hierarchy depending upon one parameter a is retrieved in the Lenard scheme, which... 
SYSTEM | SHALLOW-WATER | EVOLUTION | INFINITESIMAL TRANSFORMATIONS | NONLINEAR EQUATIONS | SOLITARY WAVES | PHYSICS, MULTIDISCIPLINARY | CAMASSA-HOLM EQUATION | PEAKON SOLUTIONS | OPERATORS | GEOMETRY | Physics - Exactly Solvable and Integrable Systems
Journal Article
Physical Review Letters, ISSN 0031-9007, 07/2018, Volume 121, Issue 3, p. 030606
We discuss a general procedure to construct an integrable real-time Trotterization of interacting lattice models. As an illustrative example, we consider a... 
PHYSICS, MULTIDISCIPLINARY | QUANTUM | CHAINS
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
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