Duruk Mutlubaş, Nilay and Freire, Igor Leite (2023) The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation. Applicable Analysis, 102 (12). pp. 3209-3222. ISSN 0003-6811 (Print) 1563-504X (Online)
This is the latest version of this item.
Official URL: https://dx.doi.org/10.1080/00036811.2022.2057304
Abstract
We consider a three-parameter family of non-linear equations with (Formula presented.) -order non-linearities. Such a family includes as a particular member the well-known b-equation, which encloses the famous Camassa–Holm equation. For certain choices of the parameters, we establish a global existence result and show a scenario that prevents the wave breaking of solutions. Also, we explore unique continuation properties for some values of the parameters.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Camassa–Holm-type equations; continuation of solutions; global existence of solution |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Nilay Duruk Mutlubaş |
| Date Deposited: | 06 Sep 2023 14:53 |
| Last Modified: | 06 Sep 2023 14:53 |
| URI: | https://research.sabanciuniv.edu/id/eprint/47781 |
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The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation. (deposited 22 Aug 2022 22:37)
- The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation. (deposited 06 Sep 2023 14:53) [Currently Displayed]
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