Conservation laws generated by pairs of non-Hamiltonian symmetries

DOI10.1016/0022-0396(82)90080-8zbMath0446.35067OpenAlexW2067642956MaRDI QIDQ1145828

Steven Rosencrans

Publication date: 1982

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90080-8

zbMATH Keywords

symmetry generatorsHamiltonian functionalEuler operatorHamiltonian system of partial differential equations

Mathematics Subject Classification ID

Hamilton's equations (70H05) Hyperbolic conservation laws (35L65) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Exponentially evolving densities ⋮ Differential algebra of the “even order Korteweg–De Vries equations” ⋮ Higher-order symmetries of the compressible one-dimensional isentropic fluid equations

Cites Work

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• Symmetry, conserved quantities and moments in diffusive equations
• A Lie algebra structure in a formal variational calculation
• Fractional powers of operators and Hamiltonian systems
• Commuting flows and conservation laws for Lax equations
• On the Hamiltonian structure of evolution equations
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
• Evolution equations possessing infinitely many symmetries
• Euler operators and conservation laws of the BBM equation

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