title   
  

The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation

Duruk Mutlubaş, Nilay and Freire, Igor Leite (2022) The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation. Applicable Analysis . ISSN 0003-6811 (Print) 1563-504X (Online) Published Online First https://dx.doi.org/10.1080/00036811.2022.2057304

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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: 22 Aug 2022 22:37
Last Modified: 22 Aug 2022 22:37
URI: https://research.sabanciuniv.edu/id/eprint/44115

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