On an integrable hierarchy derived from the isentropic gas dynamics

DOI10.1063/1.1756699zbMath1071.37041OpenAlexW2085263814MaRDI QIDQ4833447

J. C. Brunelli, Ashok Das

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1756699

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Gas dynamics (general theory) (76N15)

Related Items (12)

Emptiness formation in polytropic quantum liquids ⋮ Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type ⋮ The differential-algebraic analysis of symplectic and Lax structures related with new Riemann-type hydrodynamic systems ⋮ Fermionic prolongation structure of the \(N=1\) supersymmetric nonlocal gas equation ⋮ The matrix Lax representation of the generalized Riemann equations and its conservation laws ⋮ The bi-Hamiltonian structure of the short pulse equation ⋮ A Nonlinearly Dispersive Fifth Order Integrable Equation and its Hierarchy ⋮ Conservation Laws of The Generalized Riemann Equations ⋮ The Cauchy problem for a generalized Riemann-type hydrodynamical equation ⋮ Supersymmetric nonlocal gas equation ⋮ The short pulse hierarchy ⋮ Differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann hierarchy revisited

Cites Work

• Lie algebras and equations of Korteweg-de Vries type
• On a completely integrable nonlinear hyperbolic variational equation
• A Lax description for polytropic gas dynamics
• PROPERTIES OF AN ALTERNATE LAX DESCRIPTION OF THE KdV HIERARCHY
• THE ZERO CURVATURE FORMULATION OF TB, sTB HIERARCHY AND TOPOLOGICAL ALGEBRAS
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• Derivation and implicit solution of the Harry Dym equation and its connections with the Korteweg-de Vries equation
• Hamiltonian structures for systems of hyperbolic conservation laws
• On a new class of completely integrable nonlinear wave equations. II. Multi-Hamiltonian structure
• A simple model of the integrable Hamiltonian equation
• On the nonlocal equations and nonlocal charges associated with the Harry Dym hierarchy
• Deformed Harry Dym and Hunter–Zheng equations

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