An effective algorithm for finding multidimensional conservation laws for integrable systems of hydrodynamic type

DOI10.1134/S0040577918020071zbMath1401.37078WikidataQ114847429 ScholiaQ114847429MaRDI QIDQ1794612

Z. V. Makridin

Publication date: 15 October 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

overdetermined systemintegrable systemKadomtsev-Petviashvili equationhydrodynamic Benney chainthree-dimensional conservation law

Mathematics Subject Classification ID

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

Related Items (2)

Multidimensional conservation laws and integrable systems II ⋮ Integrability of anti-self-dual vacuum Einstein equations with nonzero cosmological constant: an infinite hierarchy of nonlocal conservation laws

Cites Work

• Unnamed Item
• Benney's long waves equations: Hamiltonian formalism
• Collisionless Boltzmann equations and integrable moment equations
• Long-wave equation with free boundaries. I. Conservation laws and solution
• Benney equations and quasiclassical approximation in the method of the inverse problem
• Method of averaging for two-dimensional integrable equations
• On the integrability of \((2+1)\)-dimensional quasilinear systems
• Classifying integrable Egoroff hydrodynamic chains
• SECOND-ORDER QUASILINEAR PDEs AND CONFORMAL STRUCTURES IN PROJECTIVE SPACE
• Integrable Equations of the Dispersionless Hirota type and Hypersurfaces in the Lagrangian Grassmannian
• Some Properties of Long Nonlinear Waves

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