The Lax pair of the Ruijsenaars-Schneider model with interaction potential of trigonometric type based on Dn Lie algebra is presented. We give a general form for the Lax pair and prove partial results for small n. Liouville integrability of the corresponding system follows a series of involutive Hamiltonians generated by the characteristic polynomial of the Lax matrix. The rational case appears...

We study the conformal properties of the multi-constraint KP hierarchy and its nonstandard partner by covariantizing their corresponding Lax operators. The associated second Hamiltonian structures turn out to be nonlocal extension of Wn algebra by some integer or half-integer spin fields depending on the order of the Lax operators. In particular, we show that the complicated second Hamiltonian ...

Front tracking simulations of the Richtmyer-Meshkov instability produce signiicantly better agreement with experimentally measured growth rates than previously reported. Careful analysis of the early stages of the shock acceleration process show that nonlin-earity and compressibility play a critical role in the behaviour of the shocked interface and are responsible for the deviations from Richt...

Ehlers-Danlos syndrome (EDS) is a heterogenous group of inherited disorders of connective tissue characterized by fragility of the skin and blood vessels, hyperextensibility of the skin and joint hypermobility. Cutis laxa is characteized clinically by lax, pendulous skin and histologically by loss of elastic tissue in the dermis. There are some reports of coexistence of cutis laxa with ot...

We provide a Lax-Oleinik-type representation formula for solutions of time-dependent Hamilton-Jacobi equations, posed on network with rather general geometry, under standard assumptions the Hamiltonians. It depends given initial datum at $t=0$ and flux limiter vertices, which both have to be assigned in order problem uniquely solved. Previous results same direction are solely frame junction, na...

For a quantaloid Q, considered as a bicategory, Walters introduced categories enriched in Q. Here we extend the study of monad-quantale-enriched categories of the past fifteen years by introducing monad-quantaloid-enriched categories. We do so by making lax distributive laws of a monad T over the discrete presheaf monad of the small quantaloid Q the primary data of the theory, rather than the l...

This study examines the vowel-intrinsic fundamental frequency (IF0) for tense and lax vowels in German: These show a similar F0 but differ in their articulatory vowel height. This is contrary to commonly accepted biomechanical theories explaining IF0 by a physiological linkage between the upper vocal tract and the larynx. To examine this phenomenon, acoustic, electroglottographic and articulato...