Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. I. Auxiliary System and Fundamental Properties

Autor:	Yanovski, A. B., Valchev, T. I.
Rok vydání:	2017
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics 37K10 37K30 35Q55 35Q51
Zdroj:	Journal of Nonlinear Mathematical Physics, Vol. 25, Issue 2, 324-350 (2018)
Druh dokumentu:	Working Paper
DOI:	10.1080/14029251.2018.1452676
Popis:	We consider an auxiliary spectral problem originally introduced by Gerdjikov, Mikhailov and Valchev (GMV system) and its modification called pseudo-Hermitian reduction which is extensively studied here for the first time. We describe the integrable hierarchies of both systems in a parallel way and construct recursion operators. Using the concept of gauge equivalence, we construct expansions over the eigenfunctions of recursion operators. This permits us to obtain the expansions for both GMV systems with arbitrary constant asymptotic values of the potential functions in the auxiliary linear problems. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1709.09266 Zobrazit plný text záznamu View this record from Arxiv