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Reciprocal transformations and deformations of integrable hierarchies

Abstract

We present changes of variables that transform new integrable hierarchies found by Szablikowski and Baszak 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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