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nlin.SI2004
Integrable Deformations of Algebraic Curves
Y. Kodama, B. Konopelchenko, L. Martinez Alonso
A general scheme for determining and studying integrable deformations of algebraic curves, based on the use of Lenard relations, is presented. We emphasize the use of several types…
nlin.SI2003
Hydrodynamic reductions and solutions of a universal hierarchy
L. Martinez Alonso, A. B. Shabat
The diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains are explicitly characterized. Their compatibility with previously introduced reductions of dif…