Instability of H<sup>1</sup>‐stable periodic peakons for the Novikov equation
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.
Authors
- Gezi Chong (ORCID: https://orcid.org/0000-0001-5198-5717)
- Ying Fu (ORCID: https://orcid.org/0000-0002-4877-0894)
- Hao Wang (ORCID: https://orcid.org/0000-0001-9301-5989)
Institutions
- Xi'an University of Architecture and Technology (CN)
- Northwest University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2024-08-30
- DOI
- https://doi.org/10.1002/mma.10436
- Citations
- 2
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.56
Funders
- National Natural Science Foundation of China