398 citations · 1.2k across the 18 of their papers we have counts for
4 papers · 1 filter
Hereditary Automorphic Lie Algebras
Vincent Knibbeler, Sara Lombardo, Jan A. Sanders
We show that Automorphic Lie Algebras which contain a Cartan subalgebra with a constant spectrum, called hereditary, are completely described by 2-cocycles on a classical root syst…
Effective Generation of Closed-form Soliton Solutions of the Continuous Classical Heisenberg Ferromagnet Equation
F. Demontis, S. Lombardo, M. Sommacal +2
The non-topological, stationary and propagating, soliton solutions of the classical continuous Heisenberg ferromagnet equation are investigated. A general, rigorous formulation of…
Higher dimensional Automorphic Lie Algebras
Vincent Knibbeler, Sara Lombardo, Jan A. Sanders
The paper presents the complete classification of Automorphic Lie Algebras based on , where the symmetry group is finite and the orbit is any of t…
Reduction Groups and Automorphic Lie Algebras
S. Lombardo, A. V. Mikhailov
We study a new class of infinite dimensional Lie algebras, which has important applications to the theory of integrable equations. The construction of these algebras is very simila…