2 papers
nlin.PS2026
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…
nlin.PS2024
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…