The reducibility of partially invariant solutions of systems of partial differential equations

DOI10.1017/S0956792500001881zbMath0852.35007OpenAlexW2119792626MaRDI QIDQ4865732

Jeffrey Ondich

Publication date: 9 December 1996

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

Full work available at URL: https://doi.org/10.1017/s0956792500001881

zbMATH Keywords

partially invariant solutionLie's method

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items (3)

Some exact solutions of the ideal MHD equations through symmetry reduction method ⋮ Symmetry and explicit solutions of partial differential equations ⋮ Nonclassical symmetry reductions of the Boussinesq equation

Cites Work

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• The construction of special solutions to partial differential equations
• Hamiltonian structures for systems of hyperbolic conservation laws
• Lie symmetries of some equations of the Fokker–Planck type
• Ovsiannikov’s method and the construction of partially invariant solutions
• Partially invariant solutions of nonlinear Klein–Gordon and Laplace equations
• Partially invariant solutions of a class of nonlinear Schrodinger equations
• Multi-Hamiltonian structure of the Born–Infeld equation

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