41 citations · 77 across the 9 of their papers we have counts for
9 papers
Fractional Solitons: A Homotopic Continuation from the Biharmonic to the Harmonic Model
Robert J. Decker, A. Demirkaya, T. J. Alexander +2
In the present work we explore the path from a harmonic to a biharmonic PDE of Klein-Gordon type from a continuation/bifurcation perspective. More specifically, we make use of the…
Kink-Antikink Interaction Forces and Bound States in a nonlinear Schr{ö}dinger Model with Quadratic and Quartic dispersion
G. A. Tsolias, Robert J. Decker, A. Demirkaya +3
In the present work we explore the competition of quadratic and quartic dispersion in producing kink-like solitary waves in a model of the nonlinear Schr{ö}dinger type bearing cubi…
Mixed dispersion nonlinear Schrödinger equation in higher dimensions: theoretical analysis and numerical computations
A. Stefanov, G. A. Tsolias, J. Cuevas-Maraver +1
In the present work we provide a characterization of the ground states of a higher-dimensional quadratic-quartic model of the nonlinear Schr{ö}dinger class with a combination of a…
Dark solitons under higher order dispersion
Tristram J. Alexander, G. A. Tsolias, A. Demirkaya +3
We show theoretically that dark solitons can exist in the presence of pure quartic dispersion, and also in the presence of both quadratic and quartic dispersive effects, displaying…
Kink-Antikink Interaction Forces and Bound States in a Model with Quadratic and Quartic dispersion
G. A. Tsolias, Robert J. Decker, A. Demirkaya +2
We consider the interaction of solitary waves in a model involving the well-known Klein-Gordon theory, but now bearing both Laplacian and biharmonic terms with different pref…
Classicalization as a tunnelling phenomenon
J. Rizos, N. Tetradis, G. Tsolias
We discuss the "wrong"-sign DBI theory as a prototype for classicalization. The theory lacks a UV completion and has to be defined with a fundamental UV cutoff. We study a quantum-…