A new symmetry-based method for constructing nonlocally related PDE systems from admitted multi-parameter groups

DOI10.1063/1.5122319zbMath1453.35010OpenAlexW3033233962MaRDI QIDQ5136132

Rafael de la Rosa, George W. Bluman, Maria Luz Gandarias, Maria de los Santos Bruzon Gallego

Publication date: 25 November 2020

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

Full work available at URL: https://doi.org/10.1063/1.5122319

zbMATH Keywords

\(q\) point symmetries\(q\)-dimensional solvable Lie algebra

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Solvable, nilpotent (super)algebras (17B30) Symmetries, invariants, etc. in context of PDEs (35B06) Systems of nonlinear higher-order PDEs (35G50)

Cites Work

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• New classes of symmetries for partial differential equations
• Nonlocal symmetries classifications and exact solution of Chaplygin gas equations
• A symmetry-based method for constructing nonlocally related partial differential equation systems
• Symmetries and differential equations

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