Results 21 to 30 of about 237,485 (323)
QUATERNIONIC INTEGRABLE SYSTEMS [PDF]
Symmetry and Perturbation Theory, 2003 Standard (Arnold-Liouville) integrable systems are intimately related to complex rotations. One can define a generalization of these, sharing many of their properties, where complex rotations are replaced by quaternionic ones. Actually this extension is not limited to the integrable case: one can define a generalization of Hamilton dynamics based on ...
Paola Morando, Giuseppe Gaeta
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Journal of Physics A: Mathematical and Theoretical, 2009 A two-dimensional circular quantum billiard with unusual boundary conditions introduced by Berry and Dennis (2008 J. Phys. A: Math. Theor. 41 135203) is considered in detail. It is demonstrated that most of its eigenfunctions are strongly localized and the corresponding eigenvalues are close to eigenvalues of the circular billiard with Neumann boundary
Bogomolny, E. +2 more
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Adelic integrable systems [PDF]
Journal of Mathematical Physics, 1995 Incorporating the zonal spherical function (zsf) problems on real and p-adic hyperbolic planes into a Zakharov–Shabat integrable system setting, we find a wide class of integrable evolutions that respect the number-theoretic properties of the zsf problem.
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On Quantum Integrable Systems [PDF]
, 2011 Many quantum integrable systems are obtained using an accelerator physics technique known as Ermakov (or normalized variables) transformation. This technique was used to create classical nonlinear integrable lattices for accelerators and nonlinear integrable plasma traps. Now, all classical results are carried over to a nonrelativistic quantum case.
Danilov, Viatcheslav, Nagaitsev, Sergei
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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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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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The classical limit of non-integrable quantum systems [PDF]
, 2005 The classical limit of non-integrable quantum systems is studied. We define non-integrable quantum systems as those which have, as their classical limit, a non-integrable classical system.
Castagnino, Mario, Lombardi, Olimpia
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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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