Supersymmetric polytropic gas dynamics

DOI10.1016/S0375-9601(02)00145-7zbMath1039.76519arXivhep-th/0109223OpenAlexW2078977234MaRDI QIDQ5961206

Ziemowit Popowicz, Ashok Das

Publication date: 24 April 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0109223

zbMATH Keywords

complete integrabilityelastic mediuminfinite Eulerian conserved-charge set

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (14)

Supersymmetric version of the Euler system and its invariant solutions ⋮ Equations of fluid mechanics with \(\mathcal{N} = 1\) Schrödinger supersymmetry ⋮ Supersymmetric hydrodynamics ⋮ Polytropic gas dynamics revisited ⋮ Fermionic prolongation structure of the \(N=1\) supersymmetric nonlocal gas equation ⋮ N = 2 supersymmetric extension of a hydrodynamic system in Riemann invariants ⋮ Alternative dispersionless limit of \(N=2\) supersymmetric KdV-type hierarchies ⋮ Infinite-dimensional 3-algebra and integrable system ⋮ Integrable geodesic flows and super polytropic gas equations ⋮ Infinite conservation laws for differential systems ⋮ The N = 2 Heavenly Equation ⋮ Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions ⋮ Supersymmetric nonlocal gas equation ⋮ Supersymmetric formulation of polytropic gas dynamics and its invariant solutions

Uses Software

• REDUCE

Cites Work

• Unnamed Item
• The classical shallow water equations: symplectic geometry
• Dispersionless sTB
• Algebraic aspects of nonlinear differential equations
• Benney equations and quasiclassical approximation in the method of the inverse problem
• SuSy 2.
• Dispersionless fermionic KdV
• New nonlocal charges in SUSY-\(B\) integrable models
• A Lax representation for the Born-Infeld equation.
• Lucas polynomials and a standard Lax representation for the polytropic gas dynamics
• A Lax description for polytropic gas dynamics
• NON-PERTURBATIVE SOLUTION OF THE SUPER-VIRASORO CONSTRAINTS
• Hamiltonian structures for systems of hyperbolic conservation laws
• A simple Lagrangian for integrable systems
• On a new class of completely integrable nonlinear wave equations. II. Multi-Hamiltonian structure
• Supersymmetric extension of the Korteweg–de Vries equation
• A simple model of the integrable Hamiltonian equation
• Multi-Hamiltonian structure of equations of hydrodynamic type
• Foundations of the new field theory
• Integrable supersymmetric fluid mechanics from superstrings

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