Conservation laws and symmetries of quasilinear radial wave equations in multi-dimensions

DOI10.1063/1.4711814zbMath1277.35025arXiv1109.1719OpenAlexW1989380500MaRDI QIDQ2862897

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Publication date: 20 November 2013

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

Full work available at URL: https://arxiv.org/abs/1109.1719

zbMATH Keywords

power nonlinearitiesconservation laws of energy-momentum typesymmetries of point type

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Second-order nonlinear hyperbolic equations (35L70) Symmetries, invariants, etc. in context of PDEs (35B06) Axially symmetric solutions to PDEs (35B07)

Cites Work

• Conservation laws of evolution systems
• Conservation laws and symmetries of semilinear radial wave equations
• Applications of symmetry methods to partial differential equations
• Symmetry and integration methods for differential equations
• New conservation laws obtained directly from symmetry action on a known conservation law
• Nonlinear Elasticity
• Introduction to Mathematical Elasticity
• Direct Construction of Conservation Laws from Field Equations
• A comparison of four approaches to the calculation of conservation laws
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
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