A Personal Overview on the Reduction Methods for Partial Differential Equations

DOI10.1285/i15900932v23n2p217zbMath1195.35020OpenAlexW1580351742MaRDI QIDQ5699138

Giuseppe Saccomandi

Publication date: 20 October 2005

Full work available at URL: http://siba-ese.unile.it/index.php/notemat/article/download/735/579

zbMATH Keywords

reduction methodsnon-classical symmetriesweak symmetriessemi-inverse methods

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Second-order hyperbolic equations (35L10) Solutions to PDEs in closed form (35C05) Local Lie groups (22E05)

Related Items (10)

Approximate Q-conditional symmetries of partial differential equations ⋮ Bogus transformations in mechanics of continua ⋮ Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model ⋮ Compatibility and generalised conditional symmetries ⋮ New conditional symmetries and exact solutions of reaction-diffusion-convection equations with exponential nonlinearities ⋮ Generalized conditional symmetries of evolution equations ⋮ Type-II hidden symmetries through weak symmetries for nonlinear partial differential equations ⋮ Reduction operators of Burgers equation ⋮ Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation ⋮ A hunter-gatherer-farmer population model: new conditional symmetries and exact solutions with biological interpretation

This page was built for publication: A Personal Overview on the Reduction Methods for Partial Differential Equations