Results 11 to 20 of about 211 (181)

Generalized completely integrable systems [PDF]

Theoretical and Applied Mechanics
Dynamical systems more general than Hamiltonian systems are considered. The role of the Hamiltonian function is played by a 1-form (not necessarily closed) on a symplectic phase space.
Kozlov Velery V.
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Integrability of generalised type II defects in affine Toda field theory

Journal of High Energy Physics, 2017
The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect.
Rebecca Bristow
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Lotka–Volterra lattice system: N-fold Darboux transformation, the corresponding integrable lattice family and bi-Hamiltonian structure

Partial Differential Equations in Applied Mathematics, 2023
An one-fold Darboux transformation for the Lotka–Volterra lattice system is first established using a proper gauge transformation matrix. Then, as a result of the N times one-fold Darboux transformation, the corresponding N-fold Darboux transformation of
Rong-Wu Lu, Xi-Xiang Xu
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Integrability of Boundary Liouville Conformal Field Theory

Communications in Mathematical Physics, 2022
70 pages, 2 ...
Guillaume Remy, Tunan Zhu
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Geodesic motion on the symplectic leaf of $$SO(3)$$ S O ( 3 ) with distorted e(3) algebra and Liouville integrability of a free rigid body

European Physical Journal C: Particles and Fields, 2023
The solutions to the Euler–Poisson equations are geodesic lines of SO(3) manifold with the metric determined by inertia tensor. However, the Poisson structure on the corresponding symplectic leaf does not depend on the inertia tensor.
Alexei A. Deriglazov
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Integrability of supersymmetric Calogero–Moser models

Physics Letters B, 2022
We analyze the integrability of the N-extended supersymmetric Calogero–Moser model. We explicitly construct the Lax pair {L,A} for this system, which properly reproduces all equations of motion.
Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin   +2 more
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Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral Problem

Abstract and Applied Analysis, 2014
A lattice hierarchy with self-consistent sources is deduced starting from a three-by-three discrete matrix spectral problem. The Hamiltonian structures are constructed for the resulting hierarchy.
Yu-Qing Li, Bao-Shu Yin
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Darboux-integrable nonlinear Liouville–von Neumann equation [PDF]

Physical Review E, 1998
A new form of a binary Darboux transformation is used to generate analytical solutions of a nonlinear Liouville-von Neumann equation. General theory is illustrated by explicit examples.
Leble, S.b., Czachor, Marek
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Liouville integrability of geometric variational problems

Commentarii Mathematici Helvetici, 1994
The authors consider finite-dimensional Hamiltonian systems which can be naturally derived from the so-called Betchov-da Rios equation (also called ``localized induction equation''), \[ \frac{\partial\gamma}{\partial t}= \Biggl[\frac{\partial\gamma} {\partial s},\;\frac{\partial^ 2 \gamma} {\partial s^ 2}\Biggr],\tag{1} \] which is a known model ...
Langer, J., Singer, D.
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Some New Riemann-Liouville Fractional Integral Inequalities [PDF]

International Journal of Mathematics and Mathematical Sciences, 2014
In this paper, some new fractional integral inequalities are established.
Jessada Tariboon, Sotiris K. Ntouyas, Weerawat Sudsutad   +2 more
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