Autor:	Valchev, T.
Rok vydání:	2024
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems 17B80 35C05 35C08 37K10
Druh dokumentu:	Working Paper
Popis:	We consider a matrix nonlinear partial differential equation that generalizes Heisenberg ferromagnet equation. This generalized Heisenberg ferromagnet equation is completely integrable with a linear bundle Lax pair related to the pseudo-unitary algebra. This allows us to explicitly derive particular solutions by using dressing technique. We shall discuss two classes of solutions over constant background: soliton-like solutions and quasi-rational solutions. Both classes have their analogues in the case of the Heisenberg ferromagnet equation related to the same Lie algebra. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.18165 Zobrazit plný text záznamu View this record from Arxiv