12 citations · 31 across the 18 of their papers we have counts for
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On Explicit Parametrisation of Spectral Curves for Moser-Calogero Particles and its Applications
K. L. Vaninsky
The system of classical particles on the line with the Weierstrass function as potential is known to be completely integrable. Recently D'Hoker and Phong found a beautifu…
Trace Formula for a System of Particles with Elliptic Potential
K. L. Vaninsky
We consider classical particles on the line with the Weierstrass function as potential. This system parameterizes special solutions of the KP equation. We derive the trace fo…
Symplectic Structures and Volume Elements in the Function Space for the Cubic Schrodinger Equation
K. L. Vaninsky
We consider various trace formulas for the cubic Schrodinger equation in the space of infinitely smooth functions subject to periodic boundary conditions. The formulas relate conve…
A Convexity Theorem in the Scattering Theory for the Dirac Operator
K. L. Vaninsky
The Dirac operator enters into zero curvature representation for the cubic nonlinear Schrödinger equation. We introduce and study a conformal map from the upper half-plane of the s…