Partial differential equations with finite-dimensional solution manifolds

DOI10.1134/S0361768811020071zbMath1247.65153OpenAlexW1976288579MaRDI QIDQ763560

Oleg V. Kaptsov

Publication date: 12 March 2012

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768811020071

zbMATH Keywords

nonlinear partial differential equationssolution manifoldoverdetermined systemsmatrix Darboux transformsystems of linear second-order equation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65N99) Systems of nonlinear first-order PDEs (35F50) Systems of linear higher-order PDEs (35G35)

Cites Work

• On Laplace and Dini transformations for multidimensional equations with a decomposable principal symbol
• Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering
• Reduction of systems of nonlinear partial differential equations to simplified involutive forms
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