A Lax description for polytropic gas dynamics

被引：27

作者：

Brunelli, JC ^{[1
]}

Das, A ^{[1
]}

机构：

[1] UNIV ROCHESTER,DEPT PHYS & ASTRON,ROCHESTER,NY 14627

来源：

PHYSICS LETTERS A | 1997年 / 235卷 / 06期

关键词：

D O I：

10.1016/S0375-9601(97)00708-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 1997 Elsevier Science B.V.

引用

页码：597 / 602

页数：6

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BLOCH AM, 1995, COMMUN FIELDS I, V7, P57

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