Results 21 to 30 of about 25,165,823 (318)
THE QUANTUM H3 INTEGRABLE SYSTEM [PDF]
, 2010 The quantum H3 integrable system is a three-dimensional system with rational potential related to the noncrystallographic root system H3. It is shown that the gauge-rotated H3 Hamiltonian as well as one of the integrals, when written in terms of the ...
Marcos A. G. Garc'ia, A. Turbiner
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Chaos in the BMN matrix model [PDF]
, 2015 We study classical chaotic motions in the Berenstein-Maldacena-Nastase (BMN) matrix model. For this purpose, it is convenient to focus upon a reduced system composed of two-coupled anharmonic oscillators by supposing an ansatz. We examine three ans\"atze:
Asano, Yuhma +2 more
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Darboux transformation of the generalized coupled dispersionless integrable system [PDF]
, 2009 The Darboux transformation on matrix solutions to the generalized coupled dispersionless integrable system based on a non-Abelian Lie group is studied, and the solutions are shown to be expressed in terms of quasideterminants. As an explicit example, the
M. Hassan
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Abstract and Applied Analysis, 2014 We generate complex integrable couplings from zero curvature equations associated with matrix spectral problems in this paper. A direct application to the WKI spectral problem leads to a novel soliton equation hierarchy of integrable coupling system ...
Fajun Yu, Shuo Feng, Yanyu Zhao
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Nonlocal PT-Symmetric Integrable Equations of Fourth-Order Associated with so(3, ℝ)
Mathematics, 2021 The paper aims to construct nonlocal PT-symmetric integrable equations of fourth-order, from nonlocal integrable reductions of a fourth-order integrable system associated with the Lie algebra so(3,R). The nonlocalities involved are reverse-space, reverse-
Li-Qin Zhang, Wen-Xiu Ma
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Neumann-Rosochatius integrable system for strings on AdS4 × ℂℙ3 [PDF]
, 2008 We use the reduction of the string dynamics on AdS4 × 3 to the Neumann-Rosochatius integrable system. All constraints can be expressed simply in terms of a few parameters.
C. Ahn, P. Bozhilov, R. Rashkov
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Regular-to-chaotic tunneling rates using a fictitious integrable system. [PDF]
Physical Review Letters, 2007 We derive a formula predicting dynamical tunneling rates from regular states to the chaotic sea in systems with a mixed phase space. Our approach is based on the introduction of a fictitious integrable system that resembles the regular dynamics within ...
A. Bäcker +3 more
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A Hierarchy of Discrete Integrable Coupling System with Self-Consistent Sources
Journal of Applied Mathematics, 2014 Integrable coupling system of a lattice soliton equation hierarchy is deduced. The Hamiltonian structure of the integrable coupling is constructed by using the discrete quadratic-form identity.
Yuqing Li, Huanhe Dong, Baoshu Yin
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Chaotic string motion in a near pp-wave limit
Journal of High Energy Physics, 2023 We revisit classical string motion in a near pp-wave limit of AdS5 × S5. It is known that the Toda lattice models are integrable. But if the exponential potential is truncated at finite order, then the system may become non-integrable.
Shodai Kushiro, Kentaroh Yoshida
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An interpolating dispersionless integrable system [PDF]
, 2008 We introduce a dispersionless integrable system which interpolates between the dispersionless Kadomtsev–Petviashvili equation and the hyper-CR equation.
M. Dunajski
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