A Lax Description for Polytropic Gas Dynamics
arXiv:solv-int/9706005 · doi:10.1016/S0375-9601(97)00708-1
Abstract
We give a Lax description for the system of polytropic gas equations. The special structure of the Lax function naturally leads to the two infinite sets of conserved charges associated with this system. We obtain closed form expressions for the conserved charges as well as the generating functions for them. We show how the study of these generating functions can naturally lead to the recursion relation between the conserved quantities as well as the higher order Hamiltonian structures.
9 pages, TeX
Cited by in corpus (17)
- Perfect Fluid Theory and its Extensions
- Classical R-matrix theory for bi-Hamiltonian field systems
- Integrable Supersymmetric Fluid Mechanics from Superstrings
- Supersymmetric Polytropic Gas Dynamics
- Algebro-geometric approach in the theory of integrable hydrodynamic type systems
- A Lax Representation for the Born-Infeld Equation
- Dispersionless Fermionic KdV
- Properties of Moyal-Lax Representation
- Recursion Operators of Some Equations of Hydrodynamic Type
- Recursion Operator and Rational Lax Representation
- Lucas polynomials and a standard Lax representation for the polytropic gas dynamics
- Dispersionless sTB
- Fluid Dynamical Profiles and Constants of Motion from D-Branes
- A Lax Equation for the Non-Linear Sigma Model
- Emptiness Formation in Polytropic Quantum Liquids
- Hydrodynamics of the Vacuum
- Lagrangian Approach to Dispersionless KdV Hierarchy