Double reduction of a nonlinear \((2+1)\) wave equation via conservation laws

DOI10.1016/j.cnsns.2010.07.007zbMath1221.35244OpenAlexW2007984120MaRDI QIDQ718435

Ashfaque H. Bokhari, Ahmad Y. Al-Dweik, F. M. Mahomed, Abdul Hamid Kara, Fiazud Din Zaman

Publication date: 23 September 2011

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.2010.07.007

zbMATH Keywords

conservation lawspartial Noether operatorsgeneralized double reductionnonlinear \((2+1)\) wave equationpartial Lagrangians

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Second-order semilinear hyperbolic equations (35L71)

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Cites Work

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• Generalization of the double reduction theory
• Lie-Bäcklund and Noether symmetries with applications
• Relationship between symmetries and conservation laws
• Noether-type symmetries and conservation laws via partial Lagrangians
• Conservation laws for equations related to soil water equations
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• A Basis of Conservation Laws for Partial Differential Equations
• Symmetries and differential equations

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