Equivalence transformations of quasilinear first order systems and reduction to autonomous and homogeneous form

DOI10.1007/s10440-012-9755-6zbMath1258.35060OpenAlexW2009384908MaRDI QIDQ1928103

Maria Paola Speciale, Francesco Olivieri

Publication date: 2 January 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9755-6

zbMATH Keywords

equivalence transformationsLie point symmetriesadmitted symmetriesquasilinear first order PDEsreduction to homogeneous and autonomous form

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Systems of nonlinear first-order PDEs (35F50)

Related Items

Symmetry of stochastic non-variational differential equations, On the equivalence groups for (2+1) dimensional nonlinear diffusion equation, Similarity reduction and closed form solutions for a model derived from two-layer fluids, Reduction of balance laws in \((3+1)\)-dimensions to autonomous conservation laws by means of equivalence transformations, Construction of autonomous conservation laws, Approximate analysis of a nonlinear dissipative model, Reduction of balance laws to conservation laws by means of equivalence transformations

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