Affiliation:
1. Center for Nonlinear Studies and School of Mathematics Northwest University Xi'an China
2. School of Science Xi'an University of Architecture and Technology Xi'an China
Abstract
Periodic peaked waves of the Novikov equation have been proved to be
‐orbital stable. Utilizing the method of characteristics, we establish that the periodic peakons of the Novikov equation are linearly unstable under
perturbations. Moreover, it is proved that the small initial
perturbations of the above periodic peakons can lead to the blow‐up phenomenon in finite time in the nonlinear evolution of the Novikov equation.
Funder
National Natural Science Foundation of China