caa a22 4500 467943540 CHVBK 20180405193734.0 cr unu---uuuuu 170328e20050201xx s 000 0 eng 10.1007/PL00022146 doi (NATIONALLICENCE)springer-10.1007/PL00022146 (NATIONALLICENCE)springer-10.1007/s11232-005-0063-4 Pavlov M. Loughborough University, Loughborough, UK aut The description of pairs of compatible first-order differential geometric poisson brackets [Elektronische Daten] [M. Pavlov] We show that bi-Hamiltonian structures of systems of hydrodynamic type can be described in terms of solutions of nonlinear equations. These equations can be integrated by the inverse scattering transform for arbitrary metrics as well as for flat ones. In particular, if one metric is flat and the other has a constant curvature, then the corresponding integrable system is a reduction of the Cherednik chiral-field model. Springer Science+Business Media, Inc., 2005 Hamiltonian structure nationallicence Riemann invariant nationallicence system of hydrodynamic type nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/2(2005-02-01), 244-258 0040-5779 142:2<244 2005 142 11232 https://doi.org/10.1007/PL00022146 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00022146 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pavlov M. Loughborough University, Loughborough, UK aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/2(2005-02-01), 244-258 0040-5779 142:2<244 2005 142 11232 NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-005-0063-4 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer