Finding symmetries by incorporating initial conditions as side conditions

DOI10.1017/S0956792508007705zbMath1160.35316MaRDI QIDQ3535685

Joanna M. Goard

Publication date: 13 November 2008

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

initial value problemLie symmetryside condition

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Initial value problems for nonlinear higher-order PDEs (35G25) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

Enforcing continuous symmetries in physics-informed neural network for solving forward and inverse problems of partial differential equations ⋮ A Time-Dependent Variance Model for Pricing Variance and Volatility Swaps ⋮ Partial symmetry of initial value problems

Cites Work

• Unnamed Item
• On the weak symmetry groups of partial differential equations
• Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition
• Generalized conditional symmetries and exact solutions of non-integrable equations
• The construction of special solutions to partial differential equations
• Evolution equations, invariant surface conditions and functional separation of variables
• New similarity reductions of the Boussinesq equation
• Noninvariant Boundary Conditions
• Conditional Lie-Backlund symmetry and reduction of evolution equations

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