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

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

2001-05-24

arxiv.org/abs/math-ph/0105035v1

Physics

Mathematical Physics

Scientific paper

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-B\"{a}cklund
transformations of the obtained stationary solutions have been constructed and
their properties have been studied.

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