A New Wave Breaking Criterion for a Weakly Dissipative Generalized Camassa–Holm Equation
ABSTRACT In this paper, we are concerned with the Cauchy problem for a weakly dissipative generalized Camassa–Holm equation. We establish a new wave breaking criterion for strong solutions by the method of characteristics and convolution estimates.
Authors
- X.C. Li (ORCID: https://orcid.org/0000-0002-5981-2762)
- Yonghui Zhou (ORCID: https://orcid.org/0000-0001-5273-2260)
Institutions
- Hexi University (CN)
- Xinjiang University (CN)
Publication Details
- Journal
- ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Published
- 2026-05-01
- DOI
- https://doi.org/10.1002/zamm.70436
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Gansu Province