| Full text | |
| Author(s): |
Agafonov, Sergey, I
Total Authors: 1
|
| Document type: | Journal article |
| Source: | Nonlinearity; v. 36, n. 9, p. 31-pg., 2023-09-01. |
| Abstract | |
We prove that (1) diagonal systems of hydrodynamic type are Darboux integrable if and only if the corresponding systems for commuting flows are Darboux integrable, (2) systems for commuting flows are Darboux integrable if and only if the Laplace transformation sequences terminate, (3) Darboux integrable systems are necessarily semihamiltonian. We give geometric interpretation for Darboux integrability of such systems in terms of congruences of lines and in terms of solution orbits with respect to symmetry subalgebras, discuss known and new examples. (AU) | |
| FAPESP's process: | 18/20009-6 - Webs of maximal rank in mathematical physics |
| Grantee: | Serguei Agafonov |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 21/10380-1 - Laplace transformations and Darboux integrability of systems of hydrodynamic type |
| Grantee: | Serguei Agafonov |
| Support Opportunities: | Scholarships abroad - Research |