Stability of pseudo peakons for a new fifth order CH type equation with cubic nonlinearities

In this paper, we study the existence and orbital stability of pseudo peakons for a new fifth order CH type equation with cubic nonlinearity. Firstly, we derive the equation via an conserved quantity with quartic nonlinearities, then we show such equation admits pseudo peakons, and finally we prove that the pseudo peakons are orbitally stable under small perturbations in the energy space.