With the aid of spectral gradient method Fuchssteiner, compatible pair Hamiltonian operators for coupled NLS hierarchy is rediscovered. This result enables us to construct a hierarchy, which contains vector generalization Fokas-Lenells system. The system shown be bi-Hamiltonian and possess Lax pair.

This study aimed to determine whether absolute sex hormone concentrations predict the magnitude of knee joint laxity changes across the menstrual cycle. Twenty-two females (18-30 years, body mass index <or=30), who reported normal menstrual cycles for the previous 6 months were tested daily across one complete menstrual cycle for serum levels of estradiol (E=pg/mL), progesterone (P=ng/mL), and ...

We present a noncommutative generalization of Lax formalism of U(N) principal chiral model in terms of a one-parameter family of flat connections. The Lax formalism is further used to derive a set of parametric noncommutative Bäcklund transformation and an infinite set of conserved quantities. From the Lax pair, we derive a noncommutative version of the Darboux transformation of the model. PACS...

We give the Lax representations for for the elliptic, hyperbolic and homogeneous second order Monge-Ampère equations. The connection between these equations and the equations of hydrodynamical type give us a scalar dispersionless Lax representation. A matrix dispersive Lax representation follows from the correspondence between sigma models, a two parameter equation for minimal surfaces and Mong...

We show that elliptic Calogero-Moser system and its Lax operator found by Krichever can be obtained by hamiltonian reduction from the integrable hamiltonian system on the cotangent bundle to the central extension of the algebra of slN (C) currents. ∗email: [email protected] [email protected]

We find a Lax pair for the geometrically exact discrete Hamiltonian equations for the discrete elastic rod. This is paper III in a series. III. Lax Pair for Discrete Dynamics of Discrete Elastic DNA Shi, McClain, and Hearst

In this paper, we focus on the intuitionistic propositional logic extended with a local operator [22] (also called nucleus [21]); such is commonly named lax after [9]. We prove that unification finitary in and supply algorithms for computing basis of unifiers recognizing admissibility inference rules, following analogous known results logic.

We study lax epimorphisms in 2-categories, with special attention to Cat and V-Cat. show that any 2-category convenient colimits has an orthogonal LaxEpi-factorization system, we give a concrete description of this factorization Cat.