A New Class of Elliptic Finite-Gap Densities of the Polar Operator and Stationary Solutions of the Harry Dym equation
A new family of one- and two-gap elliptic densities of the polar operator has been constructed by modifying the so-called "higher time approach" to constructing finite-gap solutions of the Harry Dym equation. Auto-Bäcklund transformations of the obtained stationary solutions have been constructed and their properties have been studied.
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