Results 31 to 40 of about 24,425,209 (308)
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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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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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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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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Overview of the Kadomtsev–Petviashvili-hierarchy reduction method for solitons
Partial Differential Equations in Applied Mathematics, 2022 The Kadomtsev–Petviashvili (KP) hierarchy reduction method is a prominent direct method for deriving explicit solutions to integrable equations. This method is based on Hirota’s bilinear formulation of integrable systems, as well as the observation that ...
Bo Yang, Jianke Yang
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On an Integrable System of q-Difference Equations Satisfied by the Universal Characters: Its Lax Formalism and an Application to q-Painlevé Equations [PDF]
, 2009 The universal character is a generalization of the Schur function attached to a pair of partitions. We study an integrable system of q-difference equations satisfied by the universal characters, which is an extension of the q-KP hierarchy and is called ...
Teruhisa Tsuda
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On the complete integrability of an equation having solitons but not known to have a Lax pair
International Journal of Mathematics and Mathematical Sciences, 1986 It is usually assumed that a system having N-soliton solutions is completely integrable. Here we have analyzed a set of equations occuring in case of capillary gravity waves.
A. Roychowdhury, G. Mahato
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NORMALIZATION OF CLASSICAL HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2020 The family of the Hamiltonian systems with two degrees of freedom was investigated. The calculations of the Poincaré sections show that with arbitrary values of the parameters of the Hamilton function, the system is non-integrable and dynamic chaos is ...
I.N. Belyaeva +4 more
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