3 papers
hep-th2002
Elliptic Families of Solutions of the Kadomtsev-Petviashvili Equation and the Field Elliptic Calogero-Moser System
A. Akhmetshin, I. Krichever, Yu. Volvovski
We present the Lax pair for the field elliptic Calogero-Moser system and establish a connection between this system and the Kadomtsev-Petviashvili equation. Namely, we consider ell…
hep-th1999
Discrete analogs of the Darboux-Egoroff metrics
A. A. Akhmetshin, I. M. Krichever, Y. S. Volvovski
Discrete analogs of the Darboux-Egoroff metrics are considered. It is shown that the corresponding lattices in the Euclidean space are described by discrete analogs of the Lame equ…
hep-th1999
The Generating Formula for The Solutions to The Associativity Equations
A. A. Akhmetshin, I. M. Krichever, Y. S. Volvovski
An exact formula for the solutions to the WDVV equation in terms of horizontal sections of the corresponding flat connection is found.