This article is cited in 9 papers

Dressing chain for the acoustic spectral problem

V. E. Adler, A. B. Shabat

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: We study iterations of the Darboux transformation for the generalized Schrödinger operator and consider applications to the Dym and Camassa–Holm equations.

Keywords: Darboux transformation, dressing chain, Dym equation, Camassa-Holm equation.

Received: 17.04.2006

DOI: 10.4213/tmf3826

 English version: Theoretical and Mathematical Physics, 2006, 149:1, 1324–1337

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