Fractional Solitons: A Homotopic Continuation from the Biharmonic to the Harmonic ${\varphi }^4$ 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…