Classical integrability of the O(N) nonlinear Sigma model on a half-line

The classical integrability the O(N) nonlinear sigma model on a half-line is examined, and the existence of an infinity of conserved charges in involution is established for the free boundary condition. For the case N=3 other possible boundary conditions are considered briefly.Comment: 12 Pages. Latex file (process twice

On the perturbative expansion of boundary reflection factors of the supersymmetric sinh-Gordon model

The supersymmetric sinh-Gordon model on a half-line with integrable boundary conditions is considered perturbatively to verify conjectured exact reflection factors to one loop order. Propagators for the boson and fermion fields restricted to a half-line contain several novel features and are developed as prerequisites for the calculations.Comment: 19 pages, 2 figure

Free Field Realization of Vertex Operators for Level Two Modules of Uq(sl(2)^)U_q(\hat{sl(2)})

Free field relization of vertex operators for lvel two modules of $U_q(\hat{sl(2)})$ is shown through the free field relization of the modules given by Idzumi in Ref.[4,5]. We constructed types I and II vertex operators when the spin of the addociated evaluation modules is 1/2 and typ II's for the spin 1.Comment: 15 pages, to appear in J.Phys.A:Math and Genera

The sine-Gordon model with integrable defects revisited

Application of our algebraic approach to Liouville integrable defects is proposed for the sine-Gordon model. Integrability of the model is ensured by the underlying classical r-matrix algebra. The first local integrals of motion are identified together with the corresponding Lax pairs. Continuity conditions imposed on the time components of the entailed Lax pairs give rise to the sewing conditions on the defect point consistent with Liouville integrability.Comment: 24 pages Latex. Minor modifications, added comment

Multisymplectic approach to integrable defects in the sine-Gordon model

Ideas from the theory of multisymplectic systems, introduced recently in integrable systems by the author and Kundu to discuss Liouville integrability in classical field theories with a defect, are applied to the sine-Gordon model. The key ingredient is the introduction of a second Poisson bracket in the theory that allows for a Hamiltonian description of the model that is completely equivalent to the standard one, in the absence of a defect. In the presence of a defect described by frozen Bäcklund transformations, our approach based on the new bracket unifies the various tools used so far to attack the problem. It also gets rid of the known issues related to the evaluation of the Poisson brackets of the defect matrix which involve fields at coinciding space point (the location of the defect). The original Lagrangian approach also finds a nice reinterpretation in terms of the canonical transformation representing the defect conditions

Properties of non-BPS SU(3) monopoles

This paper is concerned with magnetic monopole solutions of SU(3) Yang-Mills-Higgs system beyond the Bogomol'nyi-Prasad-Sommerfield limit. The different SU(2) embeddings, which correspond to the fundamental monopoles, as well the embedding along composite root are studied. The interaction of two different fundamental monopoles is considered. Dissolution of a single fundamental non-BPS SU(3) monopole in the limit of the minimal symmetry breaking is analysed.Comment: 19 pages, 7 figures. Typos corrected, reference added. Final version published in Physica Script

PIGEONS (Rock Doves)

Pigeons (Columbia livia) typically have a gray body with a whitish rump, two black bars on the secondary wing feathers, a broad black band on the tail, and red feet. Pigeons are found throughout the United States (including Hawaii), southern Canada, and Mexico. Pigeons are highly dependent on humans to provide them with food and sites for roosting, loafing, and nesting. Pigeons are primarily grain and seed eaters and will subsist on spilled or improperly stored grain. The common pigeon was introduced into the United States as a domesticated bird, but many escaped and formed feral populations. Pigeon droppings deface and accelerate the deterioration of buildings and increase the cost of maintenance. Feral pigeons are not protected by federal law and most states do not afford them protection

THE HOUSE MOUSE IN POULTRY OPERATIONS: PEST SIGNIFICANCE AND A NOVEL BAITING STRATEGY FOR ITS CONTROL

Enclosed and insulated commercial poultry buildings provide ideal habitat for supporting unusually large populations of the house mouse (Mus musculus L.). Mice cause damage to various structural and operational components of poultry facilities; thus, they are of economic significance as well as general nuisances. Effective mouse control programs in poultry operations are often difficult, complicated, time consuming and inefficient due to various environmental and operational factors intrinsic to commercial poultry facilities. The significance of the house mouse as an economic pest in poultry operations is discussed via the results of a rodent control survey of 161 commercial poultry operations in Indiana. Survey data are presented concerning mouse problem incidence and severity, mouse damage, and mouse control tools and methods operators judged most successful. A research project aimed at developing more cost-effective and efficient methods of controlling mice in commercial poultry operations was begun at Purdue in 1985. The project involves the development of a novel rodenticide baiting strategy utilizing customized PVC anticoagulant bait stations, second-generation anticoagulant baits, and a time-pulse baiting strategy. Preliminary field trials of this baiting technique have produced population reductions of 78.8% and 74.4% in two poultry houses following a one pass application rate. Research addressing additional application rates is continuing as well as investigations into modifications of this baiting strategy for application in other types of poultry and livestock operations

Interplay between Zamolodchikov-Faddeev and Reflection-Transmission algebras

We show that a suitable coset algebra, constructed in terms of an extension of the Zamolodchikov-Faddeev algebra, is homomorphic to the Reflection-Transmission algebra, as it appears in the study of integrable systems with impurity.Comment: 8 pages; a misprint in eq. (2.14) and (2.15) has been correcte