Bifurcation analysis and dynamics of abundant traveling waves of the modified Novikov equation

Abstract

This paper concerns traveling waves of the modified Novikov equation by dynamical systems approach. We show dynamics of abundant traveling waves for the modified Novikov equation, including solitary waves, periodic waves, compactons, kink (antikink), and kink-like (antikink-like) waves. The kink waves are newly founded in the Novikov equation. Additionally, we also derive exact explicit solitary waves under special parameter conditions.