Integrability of the egorov systems of hydrodynamic type
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Publication:2641516
DOI10.1007/s11232-007-0017-0zbMath1125.37049OpenAlexW1982365211MaRDI QIDQ2641516
Publication date: 20 August 2007
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11232-007-0017-0
Hamiltonian structureRiemann invariantreciprocal transformationsystem of hydrodynamic typegeneralized hodograph methodEgorov metricextended hodograph method
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Related Items (4)
On the solutions to the Witten-Dijkgraaf-Verlinde-Verlinde associativity equations and their algebraic properties ⋮ The WDVV symmetries in two-primary models ⋮ Integrability of exceptional hydrodynamic-type systems ⋮ Infinite conservation laws for differential systems
Cites Work
- Classification of integrable \((2+1)\)-dimensional quasilinear hierarchies
- On the Benney equations
- Collisionless Boltzmann equations and integrable moment equations
- Benney equations and quasiclassical approximation in the method of the inverse problem
- Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations
- Tri-Hamiltonian structures of Egorov systems of hydrodynamic type
- Hypersurfaces with flat centroaffine metric and equations of associativity
- Conservation of the forms of Hamiltonian structures upon linear substitution for independent variables
- On conservation laws of Benney equations
- On a new class of completely integrable nonlinear wave equations. II. Multi-Hamiltonian structure
- An algebraic formula for superposition and the completeness of the Bäcklund transformations of (2+1)-dimensional integrable systems
- Reciprocal transformations of Hamiltonian operators of hydrodynamic type: Nonlocal Hamiltonian formalism for linearly degenerate systems
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