Results 11 to 20 of about 64 (63)
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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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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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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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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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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International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 1, Page 9-14, 2002., 2002 The link between the treatment of singular Lagrangians as field systems and the canonical Hamiltonian approach is studied. It is shown that the singular Lagrangians as field systems are always in exact agreement with the canonical approach for the parametrization invariant theories.
S. I. Muslih
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On the compatible weakly nonlocal Poisson brackets of hydrodynamic type
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 10, Page 587-614, 2002., 2002 We consider the pairs of general weakly nonlocal Poisson brackets of hydrodynamic type (Ferapontov brackets) and the corresponding integrable hierarchies. We show that, under the requirement of the nondegeneracy of the corresponding “first” pseudo‐Riemannian metric g(0) νμ and also some nondegeneracy requirement for the nonlocal part, it is possible to
Andrei Ya. Maltsev
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Journal of Applied Mathematics, Volume 2, Issue 7, Page 337-370, 2002., 2002 We solve the problem of description of nonsingular pairs of compatible flat metrics for the general N‐component case. The integrable nonlinear partial differential equations describing all nonsingular pairs of compatible flat metrics (or, in other words, nonsingular flat pencils of metrics) are found and integrated.
Oleg I. Mokhov
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Chains of KP, semi‐infinite 1‐Toda lattice hierarchy and Kontsevich integral
Journal of Applied Mathematics, Volume 1, Issue 4, Page 175-193, 2001., 2001 There are well‐known constructions of integrable systems that are chains of infinitely many copies of the equations of the KP hierarchy “glued” together with some additional variables, for example, the modified KP hierarchy. Another interpretation of the latter, in terms of infinite matrices, is called the 1‐Toda lattice hierarchy.
L. A. Dickey
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