Geodesic
Transformations of integrable hydrodynamic chains and their hydrodynamic reductions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 167-175

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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. 
@article{FPM_2006_12_7_a12,
     author = {M. V. Pavlov},
     title = {Transformations of integrable hydrodynamic chains and their hydrodynamic reductions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {167--175},
     publisher = {mathdoc},
     volume = {12},
     number = {7},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_7_a12/}
}
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M. V. Pavlov. Transformations of integrable hydrodynamic chains and their hydrodynamic reductions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 167-175. http://geodesic.mathdoc.fr/item/FPM_2006_12_7_a12/