On the Fractional Dynamics of Kinks in Sine-Gordon Models

On the Fractional Dynamics of Kinks in Sine-Gordon Models

In the present work, we explored the dynamics of single kinks, kink–anti-kink pairs and bound states in the prototypical fractional Klein–Gordon example of the sine-Gordon equation. In particular, we modified the order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML&quo...

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Bibliographic Details
Main Authors:	Tassos Bountis, Julia Cantisán, Jesús Cuevas-Maraver, Jorge Eduardo Macías-Díaz, Panayotis G. Kevrekidis
Format:	Article
Language:	English
Published:	MDPI AG 2025-01-01
Series:	Mathematics
Subjects:	sine-Gordon equation kinks breathers fractional derivatives Caputo derivative Riesz derivative
Online Access:	https://www.mdpi.com/2227-7390/13/2/220
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