The variational symmetries and conservation laws in classical theory of Heisenberg (anti)ferromagnet

Abstract

The nonlinear partial differential equations describing the spin dynamics of Heisenberg ferro and antiferromagnet are studied by Lie transformation group method. The generators of the admitted variational Lie symmetry groups are derived and conservation laws for the conserved currents are found via Noether's theorem.

References in corpus (1)

• A long-wave action of spin Hamiltonians and the inverse problem of the calculus of variations

Cited by in corpus (4)

• Topological structures in unconventional scenario for 2D cuprates
• Spiral vortices in a 2D ferromagnet
• Asymptotics of quasi-classical localized states in 2D system of charged hard-core bosons
• Topological stripelike coreless textures with inner incommensurability in two-dimensional Heisenberg antiferromagnet