dorsal/arxiv
View SchemaA Lax Description for Polytropic Gas Dynamics
| Authors | J. C. Brunelli, A. Das |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9706005 |
| URL | https://arxiv.org/abs/solv-int/9706005 |
| DOI | 10.1016/S0375-9601(97)00708-1 |
| Journal | Phys.Lett. A235 (1997) 597-602 |
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.
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"abstract": "We give a Lax description for the system of polytropic gas equations. The\nspecial structure of the Lax function naturally leads to the two infinite sets\nof conserved charges associated with this system. We obtain closed form\nexpressions for the conserved charges as well as the generating functions for\nthem. We show how the study of these generating functions can naturally lead to\nthe recursion relation between the conserved quantities as well as the higher\norder Hamiltonian structures.",
"arxiv_id": "solv-int/9706005",
"authors": [
"J. C. Brunelli",
"A. Das"
],
"categories": [
"solv-int",
"hep-th",
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],
"doi": "10.1016/S0375-9601(97)00708-1",
"journal_ref": "Phys.Lett. A235 (1997) 597-602",
"title": "A Lax Description for Polytropic Gas Dynamics",
"url": "https://arxiv.org/abs/solv-int/9706005"
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