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In this paper, a generalized Camassa–Holm equation, which may be used to describe wave motion in the shallow water, is considered. Some dynamic properties are studied for the model. Firstly,… Click to show full abstract
In this paper, a generalized Camassa–Holm equation, which may be used to describe wave motion in the shallow water, is considered. Some dynamic properties are studied for the model. Firstly, a new blow-up criterion for the equation is established. Then, analytical solutions are presented for the first time by using a new method. Finally, we investigate the persistence property for strong solutions. The results we obtain complement earlier results in this direction.
Keywords:
persistence property;
equation;
holm equation;
blow criterion;
camassa holm;
generalized camassa
Journal Title: Symmetry
Year Published: 2023
Link to full text (if available)
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Journal Title: Symmetry
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!