A Lax description for polytropic gas dynamics
From MaRDI portal
Publication:1966434
DOI10.1016/S0375-9601(97)00708-1zbMath0969.76578arXivsolv-int/9706005MaRDI QIDQ1966434
Publication date: 7 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/solv-int/9706005
PDEs in connection with fluid mechanics (35Q35) 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
Emptiness formation in polytropic quantum liquids ⋮ On an integrable hierarchy derived from the isentropic gas dynamics ⋮ Fluid dynamical profiles and constants of motion from D-branes ⋮ Polytropic gas dynamics revisited ⋮ Algebro-geometric approach in the theory of integrable hydrodynamic type systems ⋮ Integrable supersymmetric fluid mechanics from superstrings ⋮ ON THE INTEGRABILITY OF A CLASS OF MONGE–AMPÈRE EQUATIONS ⋮ Supersymmetric polytropic gas dynamics ⋮ Dispersionless sTB ⋮ HYDRODYNAMICS OF THE VACUUM ⋮ Dispersionless fermionic KdV ⋮ Extensions of 1-Dimensional Polytropic Gas Dynamics ⋮ A Lax representation for the Born-Infeld equation. ⋮ Recursion operator and dispersionless rational Lax representation ⋮ Supersymmetric nonlocal gas equation
Cites Work
- Unnamed Item
- The classical shallow water equations: symplectic geometry
- Algebraic aspects of nonlinear differential equations
- Benney equations and quasiclassical approximation in the method of the inverse problem
- HAMILTONIAN STRUCTURES FOR THE GENERALIZED DISPERSIONLESS KdV HIERARCHY
- Hamiltonian structures for systems of hyperbolic conservation laws
- Dispersionful analogues of Benney's equations and N -wave systems