This article is cited in 1 paper

Transformations of integrable hydrodynamic chains and their hydrodynamic reductions

M. V. Pavlov

P. N. Lebedev Physical Institute, Russian Academy of Sciences

Abstract: 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.

UDC: 517.957

 English version: Journal of Mathematical Sciences (New York), 2008, 151:4, 3185–3191

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