Fifth-order b-family Novikov (FObFN) model with pseudo-peakons and multi-peakons

摘要

In this paper, we discuss a fifth-order b-family peakon model with cubic nonlinearity, called the fifth-order b-family Novikov (FObFN) model. Interesting solutions are provided including explicit single pseudo-peakons, two-peakons, and N-peakon solutions. In particular, detailed dynamical interactions of two-peakons and three-peakons are investigated numerically.