Hydrodynamic reductions and solutions of a universal hierarchy
arXiv:nlin/0312043 · doi:10.1023/B:TAMP.0000036538.41884.57
Abstract
The diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains are explicitly characterized. Their compatibility with previously introduced reductions of differential type is analyzed and their associated class of hodograph solutions is discussed.
19 pages