Kinks of fractional $\ddot{I}{•}^4$ models: existence, uniqueness, monotonicity, stability, and sharp asymptotics

Atanas G. Stefanov, P. G. Kevrekidis

In the present work we construct kink solutions for different (parabolic and wave) variants of the fractional $\ddot{I}{•}^4$ model, in both the sub-Laplacian and super-Laplacian setting. W…