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nlin.PS2024★ 4 cited
On the Fractional Dynamics of Kinks in sine-Gordon Models
T. Bountis, J. Cantisán, J. Cuevas-Maraver +2
In the present work we explore the dynamics of single kinks, kink-anti-kink pairs and bound states in the prototypical fractional Klein-Gordon example of the sine-Gordon equation.…
nlin.PS2024
The Dissipative Effect of Caputo--Time-Fractional Derivatives and its Implications for the Solutions of Nonlinear Wave Equations
Tassos Bountis, Julia Cantisán, Jesús Cuevas-Maraver +2
In honor of the great Russian mathematician A. N. Kolmogorov, we would like to draw attention in the present paper to a curious mathematical observation concerning fractional diffe…