An application of solvable structures to classical and nonclassical similarity solutions

DOI10.1063/1.1368845zbMath1014.35003OpenAlexW1996880650MaRDI QIDQ2774994

M. A. Barco

Publication date: 26 February 2002

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

Full work available at URL: https://semanticscholar.org/paper/5418fd9d93abcac55bc764d2b0666a99515c225e

zbMATH Keywords

isovectorconditional symmetriesFrobenius integrable vector field

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Differential forms in global analysis (58A10) Exterior differential systems (Cartan theory) (58A15) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

Solvable structures for evolution PDEs admitting differential constraints

Uses Software

• DIMSYM

Cites Work

• Integrability by quadratures for systems of involutive vector fields
• A constructive implementation of the Cartan-Kähler theory of exterior differential systems
• Symmetry and explicit solutions of partial differential equations
• DIMSYM and LIE: Symmetry determination packages
• Nonclassical solutions are non-existent for the heat equation and rare for nonlinear diffusion
• On E. Cartan's Prolongation Theorem of Exterior Differential Systems
• Symmetry transformations, isovectors, and conservation laws
• Group-Invariant Solutions of Differential Equations
• Solvable structures and hidden symmetries
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
• Alternatives to the Cartan-Kähler theorem

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