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arxiv: 0812.5069 · v1 · submitted 2008-12-30 · 🧮 math-ph · math.MP

Reciprocal transformations and deformations of integrable hierarchies

classification 🧮 math-ph math.MP
keywords hierarchiesintegrableaszakchangesdeformationdeformationsfoundharry-dym-type
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We present changes of variables that transform new integrable hierarchies found by Szablikowski and B{\l}aszak 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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