Higher-order symmetries of the compressible one-dimensional isentropic fluid equations

DOI10.1063/1.526241zbMath0568.76068OpenAlexW2008596519MaRDI QIDQ3685461

John M. Verosky

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526241

zbMATH Keywords

recursion operatorsNoether's theoremcompressible one-dimensional isentropic flowfirst-order conserved functionalinfinitely many higher- order symmetriesthird-order symmetry

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (9)

Exponentially evolving densities ⋮ Hamiltonian structures for systems of hyperbolic conservation laws ⋮ An infinity of conservation laws for highly symmetric nonisentropic ideal gas flow ⋮ Multi-Lagrangians for integrable systems ⋮ The Hamiltonian structures of the nonlinear Schrödinger equation in the classical limit ⋮ Noether-type conservation laws for perfect fluid motions ⋮ Multi-Hamiltonian structure of equations of hydrodynamic type ⋮ First-order conserved densities for gas dynamics ⋮ Multi-symplectic, Lagrangian, one-dimensional gas dynamics

Cites Work

• A nonlinear Hamiltonian structure for the Euler equations
• The Hamiltonian structure of the Maxwell-Vlasov equations
• Conservation laws generated by pairs of non-Hamiltonian symmetries
• Infinte Lie-Bäcklund algebras
• Evolutionary equations with nontrivial Lie-Bäcklund group
• Commuting flows and conservation laws for Lax equations
• On the Hamiltonian structure of evolution equations
• Evolution equations possessing infinitely many symmetries
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Conservation laws for shallow water waves on a sloping beach

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