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Titlebook: Integrable Systems; The Verdier Memorial Olivier Babelon,Yvette Kosmann-Schwarzbach,Pierre Book 1993 Birkhäuser Boston 1993 Finite.Lattice

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E. Date and surgical therapy with anti-reflux procedures. With experience, it has become evident that a proportion of patients on PPIs will manifest incomplete relief of their symptoms and develop new symptoms, which leads to higher doses of PPIs. The evaluation of the lower esophageal sphincter (LES) has
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Hommage à Jean-Louis Verdier : au jardin des systèmes intégrabless Verdier a été sensible à la même beauté formelle en explorant la dualité de Poincaré et les systèmes complètement intégrables. Un des premiers en France il a noué des contacts avec les physiciens, dans son séminaire à l’Ecole Normale, autour des équations de Yang-Mills, du problème de Riemann-Hilb
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Compactified Jacobians of Tangential Coversth a given elliptic curve .. In fact we show that the compactified Jacobian of any tangential cover of degree . over . covers .. the .th symmetric product of .. It then follows that the . divisor of that Jacobian is ample and naturally equipped with a . function. Last but not least we prove a Torell
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Modular Forms as ,-Functions for Certain Integrable Reductions of the Yang-Mills Equationsv. Lett., ., 1085–1087, 1990]. We show how classical modular forms and functions appear as their general solutions. We discuss possible consequences of this novel phenomenon in integrable systems which indicates deep connections between integrable equations, group representations, modular forms and
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The ,-Functions of the ,AKNS Equations a complexified version of the physically important nonlinear Schrödinger equation(s) . to which they reduce if we impose one of the conditions . = ±.. The equations (1.1) are the simplest (in some sense) integrable system associated with the Lie algebra .(2, ℂ); as such they have natural generaliza
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On Segal-Wilson’s Definition of the τ-Function and Hierarchies AKNS-D and mcKPegrable equations based on Grassmannians in Hilbert spaces. To any element of a Grassmannian a Baker function of a solution can be assigned which, in turn, enables one to find the solution itself. Segal and Wilson also suggested a construction of .-functions based on Grassmannians, and a .-function
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The Geometry of the Full Kostant-Toda Lattice . is the projection onto the skew-symmetric summand in the decomposition of . into skew-symmetric plus upper triangular. The eigenvalues of . are constants of motion of ., and the Toda lattice turns out to be a completely integrable Hamiltonian system.
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