On the conservation laws for a certain class of nonlinear wave equation via a new conservation theorem

DOI10.1016/J.CNSNS.2011.08.030zbMath1364.35199OpenAlexW2067273219MaRDI QIDQ430459

Ahmad Y. Al-Dweik

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.08.030

zbMATH Keywords

conservation lawsnonlinear wave equationLagrangianNoether theoremadjoint equationnew conservation theorempartial Noether approach

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Second-order quasilinear hyperbolic equations (35L72)

Related Items (2)

\(W\)-symmetries of jump-diffusion Itô stochastic differential equations ⋮ Symmetry analysis of space-time fractional Poisson equation with a delay

Cites Work

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• Double reduction of a nonlinear \((2+1)\) wave equation via conservation laws
• A new conservation theorem
• Applications of symmetry methods to partial differential equations
• Relationship between symmetries and conservation laws
• Lagrangian approach to evolution equations: symmetries and conservation laws
• Noether-type symmetries and conservation laws via partial Lagrangians
• Conservation laws for equations related to soil water equations
• A Basis of Conservation Laws for Partial Differential Equations
• Symmetries and differential equations

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