Abstract
The complete integrability of a generalized Riemann type hydrodynamic hierarchy is studied by means of a novel combination of symplectic and differential-algebraic tools. A compatible pair of polynomial Poissonian structures, a Lax representation and a related infinite hierarchy of conservation laws are constructed. The current investigation provides an interesting glimpse of what is apparently a far wider range of applications.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 555-567 |
| Number of pages | 13 |
| Journal | Miskolc Mathematical Notes |
| Volume | 19 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2018 |
All Science Journal Classification (ASJC) codes
- Analysis
- Algebra and Number Theory
- Numerical Analysis
- Discrete Mathematics and Combinatorics
- Control and Optimization
Keywords
- Bi- Hamiltonian structure
- Conservation laws
- Differential ideals
- Lax type integrability
- Lax-Noether equation
- Poissonian structures
- Riemann type hydrodynamic hierachy