Results 11 to 20 of about 1,801 (94)
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
wiley +1 more source
Recursion Operators and Frobenius Manifolds [PDF]
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
core +4 more sources
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
wiley +1 more source
Singularity Analysis and Integrability of a Burgers-Type System of Foursov [PDF]
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
core +3 more sources
Generalized fermionic discrete Toda hierarchy
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
wiley +1 more source
Exact solutions of the semi‐infinite Toda lattice with applications to the inverse spectral problem
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
wiley +1 more source
Bi-Hamiltonian Structures on the Tangent Bundle to a Poisson Manifold
Communicated by Alexandar B. Yanovski Abstract. In the case when M is equipped with a bi-Hamiltonian structure (M,π1, π2) we show how to construct family of Poisson structures on the tangent bundle TM to a Poisson manifold.
A. Dobrogowska+2 more
semanticscholar +1 more source
Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with SO(4)
In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated ...
Zhang Jian, Zhang Chiping, Cui Yunan
doaj +1 more source
Darboux transformation for classical acoustic spectral problem
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
wiley +1 more source
Continuous and Discrete (Classical) Heisenberg Spin Chain Revised [PDF]
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
core +6 more sources