Classification of evolution equations by conservation laws

DOI10.1007/BF01081815zbMath0511.35058OpenAlexW2090058942MaRDI QIDQ1838637

Oleg V. Kaptsov

Publication date: 1982

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01081815

zbMATH Keywords

classification of evolution equationsconservation laws of high orderLie-Bäcklund group

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Partial differential equations of mathematical physics and other areas of application (35Q99) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (3)

Algebras of first integrals of finitely modal singularities of vector fields ⋮ A List of 1 + 1 Dimensional Integrable Equations and Their Properties ⋮ Invariant sets of evolution equations

Cites Work

• On variation bicomplexes associated to differential equations
• Statistics of integral convex polygons
• Conserved densities for nonlinear evolution equations. I. Even order case
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