On the structure of conservation laws of (3 + 1)-dimensional wave equation

DOI10.1016/J.AJMSC.2018.04.002zbMath1413.76034OpenAlexW2802772034MaRDI QIDQ1662077

Y. Aharonov

Publication date: 17 August 2018

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2018.04.002

zbMATH Keywords

wave equationconservation lawsdirect methodNoether's theoremLie symmetryBoyer's formulation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (1)

Observation of resonant solitons and associated integrable properties for nonlinear waves

Cites Work

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• A new conservation theorem
• Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
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• Symmetry and integration methods for differential equations
• Solutions and conservation laws of a \((2+1)\)-dimensional Boussinesq equation
• Continuous symmetries and conserved currents
• Comparing symmetries and conservation laws of nonlinear telegraph equations
• Direct Construction of Conservation Laws from Field Equations
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• Integrals of nonlinear equations of evolution and solitary waves

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