Results 1 to 10 of about 852 (42)
Proceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020 Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
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By Magri's Theorem, Self-Dual Gravity is Completely Integrable [PDF]
, 2007 By Magri's theorem the bi-Hamiltonian structure of Plebanski's second heavenly equation proves that (anti)-self-dual gravity is a completely integrable system in four dimensions.Comment: This is a contribution to the Proc.
Nutku, Yavuz
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Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016 Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
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Recursion Operators and Frobenius Manifolds [PDF]
, 2012 In this note I exhibit a "discrete homotopy" which joins the category of F-manifolds to the category of Poisson-Nijenhuis manifolds, passing through the category of Frobenius ...
Magri, Franco
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 58, Page 3117-3128, 2004., 2004 We present a method to construct inverse scattering problems for integrable nonlinear evolution equations in the two‐spatial dimension. The temporal component is the adjoint of the linearized equation and the spatial component is a partial differential equation with respect to the spatial variables. Although this idea has been known for the one‐spatial
H. H. Chen, J. E. Lin
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Generalized fermionic discrete Toda hierarchy
Discrete Dynamics in Nature and Society, Volume 2004, Issue 1, Page 113-153, 2004., 2004 We describe bi‐Hamiltonian structure and Lax‐pair formulation with the spectral parameter of the generalized fermionic Toda lattice hierarchy as well as its bosonic and fermionic symmetries for different (including periodic) boundary conditions. Its two reductions N = 4 and N = 2 supersymmetric Toda lattice hierarchies in different (including canonical)
V. V. Gribanov +2 more
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Continuous and Discrete (Classical) Heisenberg Spin Chain Revised [PDF]
, 2006 Most of the work done in the past on the integrability structure of the Classical Heisenberg Spin Chain (CHSC) has been devoted to studying the $su(2)$ case, both at the continuous and at the discrete level.
Ragnisco, Orlando, Zullo, Federico
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Exact solutions of the semi‐infinite Toda lattice with applications to the inverse spectral problem
Abstract and Applied Analysis, Volume 2004, Issue 5, Page 435-451, 2004., 2004 Several inverse spectral problems are solved by a method which is based on exact solutions of the semi‐infinite Toda lattice. In fact, starting with a well‐known and appropriate probability measure μ, the solution αn(t), bn(t) of the Toda lattice is exactly determined and by taking t = 0, the solution αn(0), bn(0) of the inverse spectral problem is ...
E. K. Ifantis, K. N. Vlachou
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Singularity Analysis and Integrability of a Burgers-Type System of Foursov [PDF]
, 2011 We apply the Painleve test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting local generalized symmetries ...
Sakovich, Sergei
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Darboux transformation for classical acoustic spectral problem
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 49, Page 3123-3142, 2003., 2003 We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two by developing a Darboux (Moutard) transformation formalism for this problem. The procedure follows steps similar to those for the Schrödinger operator. However, there is no one‐to‐one correspondence between the two problems.
A. A. Yurova, A. V. Yurov, M. Rudnev
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