Diagonalization and Hamiltonian structures of hyperbolic systems
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Publication:3832107
DOI10.1063/1.528255zbMath0676.70020OpenAlexW1988966631MaRDI QIDQ3832107
Publication date: 1989
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528255
hyperbolic systemsdispersionless Kadomtsev-Petviashvili equationPoisson equationBorn-Infeld equationRiemann invariantsshock conditionsone-to-one variable transformations
Shocks and singularities for hyperbolic equations (35L67) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Classical field theories (70Sxx)
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Pencils of compatible metrics and integrable systems ⋮ Hamiltonian systems of hydrodynamic type and their realization on hypersurfaces of a pseudo-Euclidean space
Cites Work
- On the infinite-dimensional noncommutative Lie-Bäcklund algebra associated with the equations of one-dimensional gas dynamics
- Integration of Hamiltonian systems of hydrodynamic type with two dependent variables with the aid of the Lie-Bäcklund group
- Hamiltonian structures for systems of hyperbolic conservation laws
- On a new class of completely integrable nonlinear wave equations. I. Infinitely many conservation laws
- On a new class of completely integrable nonlinear wave equations. II. Multi-Hamiltonian structure
- First-order conserved densities for gas dynamics
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
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