Elliptic solutions of the semi-discrete BKP equation
We consider elliptic solutions of the semi-discrete BKP equation and derive equations of motion for their poles. The basic tool is the auxiliary linear problem for the wave function.
nlin.SI↗
arXiv subjects
D. Rudneva
Publications and source records attributed to D. Rudneva.
Dynamics of poles of elliptic solutions to the BKP equation
We derive equations of motion for poles of elliptic solutions to the B-version of the Kadomtsev-Petviashvili equation (BKP). The basic tool is the auxiliary linear problem for the Baker-Akhiezer function. We also discuss integrals of motion for the pole dynamics which follow from the equation of the spectral curve.
math-ph↗
Asymmetric 6-vertex model and classical Ruijsenaars-Schneider system of particles
We discuss the correspondence between models solved by Bethe ansatz and classical integrable systems of Calogero type. We illustrate the correspondence by the simplest example of the inhomogeneous asymmetric 6-vertex model parametrized by trigonometric (hyperbolic) functions.
math-ph↗