×

Hydrodynamic reductions and solutions of a universal hierarchy. (English) Zbl 1178.37067

Theor. Math. Phys. 140, No. 2, 1073-1085 (2004); translation from Teor. Mat. Fiz. 140, No. 2, 216-229 (2004).
Summary: We investigate the diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains and analyze their compatibility with previously introduced reductions of differential type.

MSC:

37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
PDFBibTeX XMLCite
Full Text: DOI arXiv