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A New Class of Elliptic Finite-Gap Densities of the Polar Operator and Stationary Solutions of the Harry Dym equation

L. A. Dmitrieva·D. A. Pyatkin
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Abstract

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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L. A. Dmitrieva, D. A. Pyatkin. 2001-05-24. A New Class of Elliptic Finite-Gap Densities of the Polar Operator and Stationary Solutions of the Harry Dym equation. https://arxiv.org/abs/math-ph/0105035

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