SYMMETRIES AND FIRST INTEGRALS FOR NON-VARIATIONAL EQUATIONS

DOI10.1142/S0219887807002521zbMath1171.58312MaRDI QIDQ3532372

Paola Morando, Diego Catalano Ferraioli

Publication date: 3 November 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

invariantssymmetriesFirst integralsexterior ideals

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Cites Work

• Unnamed Item
• Divergence-free vectorfields and integration via quadratures
• Toward a classification of dynamical symmetries in classical mechanics
• A new conservation law constructed without using either Lagrangians or Hamiltonians
• Conservation laws for divergenceless differential equations
• On symmetries, conservation laws, and variational problems for partial differential equations
• SYMMETRY REDUCTION IN THE VARIATIONAL APPROACH TO LIOUVILLE DYNAMICS

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