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Bright Fractional Single and Multi-Solitons in a Prototypical Nonlinear Schr{ö}dinger Paradigm: Existence, Stability and Dynamics
Robert J. Decker, A. Demirkaya, T. J. Alexander +1
In the present work we explore features of single and pairs of solitary waves in a fractional variant of the nonlinear Schr{ö}dinger equation. Motivated by the recent experimental…
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 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…
Kink-Antikink Interaction Forces and Bound States in a Biharmonic Model
Robert J. Decker, A. Demirkaya, N. S. Manton +1
We consider the interaction of solitons in a biharmonic, beam model analogue of the well-studied Klein-Gordon theory. Specifically, we calculate the force between a well sepa…
Kink Dynamics in a Nonlinear Beam Model
Robert J. Decker, Aslihan Demirkaya, Panayotis G. Kevrekidis +3
In this paper, we study the single kink and the kink-antikink collisions of a nonlinear beam equation bearing a fourth-derivative term. We numerically explore some of the key chara…