Derivation of conservation laws from nonlocal symmetries of differential equations

DOI10.1063/1.531515zbMath0882.35007OpenAlexW1978882646MaRDI QIDQ5284281

Stephen C. Anco, George W. Bluman

Publication date: 3 March 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c6aecdc005709d52169e7a33718ac0b90562fbc2

zbMATH Keywords

Noether's theoremlocal symmetriesnonlocal symmetriesscalar wave equations with variable wave speeds

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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Cites Work

• Simplifying the form of Lie groups admitted by a given differential equation
• Use and construction of potential symmetries
• The use of factors to discover potential systems or linearizations
• Exact solutions for wave equations of two-layered media with smooth transition
• On invariance properties of the wave equation
• New classes of symmetries for partial differential equations

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