Symmetry, Compatibility and Exact Solutions of PDEs |
| |
Authors: | Boris Kruglikov |
| |
Affiliation: | 1. Institute of Mathematics and Statistics, University of Troms?, Troms?, 90-37, Norway
|
| |
Abstract: | We discuss various compatibility criteria for overdetermined systems of PDEs generalizing the approach to formal integrability via brackets of differential operators. Then we give sufficient conditions that guarantee that a PDE possessing a Lie algebra of symmetries has invariant solutions. Finally we discuss models of equations with large symmetry algebras, which eventually lead to integration in closed form. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|