Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
  • Русский
  • Английский
Article

On Some Classes of Partial Differential Equations Possessing Infinite Series of Symmetries and Conservation Laws

Published: 01.10.2013

Authors: Horkova N.G.

Published in issue: #4(16)/2013

DOI: 10.18698/2308-6033-2013-4-665

Category: Basic science | Chapter: Mathematics

A method of generating infinite series of symmetries and conservation laws for systems of partial differential equations possessing recursion operator is considered. This method is applicable to equations that are contact equivalent to linear equations or with covering linear equations. It is shown, how "linear" symmetries of linearized equations give rise to recursion operators for nonlinear equations. Computational procedures are applied to the minimal surface equation and the Burgers equation.