New conservation laws of some third-order systems of PDEs arising from higher-order multipliers

DOI10.1016/j.amc.2010.08.002zbMath1202.35244OpenAlexW2068990688MaRDI QIDQ606832

Sumit K. Garg

Publication date: 18 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.002

zbMATH Keywords

higher-order conservation lawsthird-order systems of PDEs

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

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Cites Work

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• Seven common errors in finding exact solutions of nonlinear differential equations
• Long-time asymptotic behavior of dissipative Boussinesq systems
• Noether-type symmetries and conservation laws via partial Lagrangians
• Symmetries, conservation laws and multipliers via partial Lagrangians and Noether's theorem for classically non-variational problems
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I