Partial symmetry of initial value problems

DOI10.1016/j.jmaa.2017.01.054zbMath1356.35026OpenAlexW2582180677MaRDI QIDQ511291

Zhi Yong Zhang

Publication date: 14 February 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.01.054

zbMATH Keywords

Boussinesq equationnonlinear heat equationinvariant solutionexact symmetry

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

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• Classical and nonclassical symmetries analysis for initial value problems
• Symmetry analysis of initial-value problems
• Partial Lie-point symmetries of differential equations
• Non-classical symmetry reduction: example of the Boussinesq equation
• New similarity reductions of the Boussinesq equation
• Finding symmetries by incorporating initial conditions as side conditions
• New classes of symmetries for partial differential equations
• Iterating the classical symmetries method to solve initial value problems
• Nonlinear interaction of traveling waves of nonintegrable equations
• Non-classical reductions of initial-value problems for a class of nonlinear evolution equations
• Conditional Lie-Backlund symmetry and reduction of evolution equations
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries

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