Reciprocal transformations and deformations of integrable hierarchies

2008/12/30 by Artur Sergyeyev, A. Sergyeyev, Sergyeyev, A.
Chemistry · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Geophysics and Gravity Measurements #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #math-ph #math.MP #msc:37K10 #msc:37K15

paper · pdf · doi:10.48550/arxiv.0812.5069

5 pages, AMS-LaTeX

arxiv created 2008/12/30 · arxiv updated 2009/12/01

Abstract

We present changes of variables that transform new integrable hierarchies found by Szablikowski and Błaszak using the R-matrix deformation technique [J. Math. Phys. 47 (2006), paper 043505, nlin.SI/0501044] into known Harry-Dym-type and mKdV-type hierarchies.

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