Πριν λίγες ημέρες έγινε δεκτό και δημοσιεύθηκε το νεο μου επιστημονικό άρθρο με τίτλο “Dissipative Soliton Dynamics of the LLG Equation”, μαζί με τους καθηγητές κ. Αναστάσιο Μπουντη και τον κ.Βασίλειο Ρόθο. Μια μικρή περιγραφή δίνεται παρακάτω
Abstract: In the present work, we study ferromagnetic dissipative systems described by the isotropic LLG equation, from the viewpoint of their spatially localized dynamic excitations. In particular, we focus on dissipative soliton solutions of a nonlocal NLS equation to which the LLG equation is transformed and use Mel’nikov theory to prove the existence of these solutions for sufficiently small dissipation. Next, we employ pseudospectral and PINN numerical techniques of machine learning to demonstrate the validity of our analytical results. Such localized structures have been detected experimentally in magnetic systems and observed in nano-oscillators, while dissipative magnetic droplet solitons have also been found theoretically and experimentally.
https://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=tmf&paperid=10404&option_lang=eng