FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 7, PAGES 167-175

Transformations of integrable hydrodynamic chains and their hydrodynamic reductions

M. V. Pavlov

Abstract

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Hydrodynamic reductions of the hydrodynamic chain associated with dispersionless limit of the $(2+1)$-dimensional Harry--Dym equation are found by using the Miura type and reciprocal transformations applied to the Benney hydrodynamic chain.

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