arXiv:1710.08824 Abstract | arXiv Analytics

arXiv:1710.08824 [math.AP]Abstract References Reviews Resources

Lie symmetries for systems of evolution equations

Andronikos Paliathanasis, Michael Tsamparlis

Published 2017-10-20Version 1

The Lie symmetries for a class of systems of evolution equations are studied. The evolution equations are defined in a bimetric space with two Riemannian metrics corresponding to the space of the independent and dependent variables of the differential equations. The exact relation of the Lie symmetries with the collineations of the bimetric space is determined

Comments: 7 pages, to appear in J. Geom. Phys

Categories: math.AP, math-ph, math.MP

Keywords: evolution equations, lie symmetries, bimetric space, exact relation, differential equations

Related articles: Most relevant | Search more

arXiv:1306.3178 [math.AP] (Published 2013-06-13, updated 2014-03-06)

The Sobolev norms and localization on the Fourier side for the solutions to some evolution equations

Sergey A. Denisov

arXiv:0908.2419 [math.AP] (Published 2009-08-17)

The generic behavior of solutions to some evolution equations: asymptotics and Sobolev norms

Sergey A. Denisov

arXiv:2412.10886 [math.AP] (Published 2024-12-14)

Weak Form of Differential Equations and Differential Identities