A Coordinate-Free Construction for a Class of Integrable Hydrodynamic-Type Systems
| dc.creator | Blaszak, Maciej | |
| dc.creator | Sergyeyev, Artur | |
| dc.date | 2008-03-03 | |
| dc.date | 2008-07-14 | |
| dc.date.accessioned | 2026-07-07T09:49:46Z | |
| dc.date.available | 2026-07-07T09:49:46Z | |
| dc.description | Using a (1,1)-tensor L with zero Nijenhuis torsion and maximal possible number (equal to the number of dependent variables) of distinct, functionally independent eigenvalues we define, in a coordinate-free fashion, the seed systems which are weakly nonlinear semi-Hamiltonian systems of a special form, and an infinite set of conservation laws for the seed systems. The reciprocal transformations constructed from these conservation laws yield a considerably larger class of hydrodynamic-type systems from the seed systems, and we show that these new systems are again defined in a coordinate-free manner, using the tensor L alone, and, moreover, are weakly nonlinear and semi-Hamiltonian, so their general solution can be obtained by means of the generalized hodograph method of Tsarev. | |
| dc.description | 11 pages, LaTeX 2e, major revision | |
| dc.identifier | https://arxiv.org/abs/0803.0308 | |
| dc.identifier | http://arxiv.org/abs/0803.0308 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164711 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | A Coordinate-Free Construction for a Class of Integrable Hydrodynamic-Type Systems | |
| dc.type | text |