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

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Author(s):
Duruk Mutlubas, Nilay ; Freire, Igor Leite
Total Authors: 2
Document type: Journal article
Source: APPLICABLE ANALYSIS; v. N/A, p. 14-pg., 2022-04-01.
Abstract

We consider a three-parameter family of non-linear equations with (p + 1)-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. (AU)

FAPESP's process: 20/02055-0 - Novikov equations with quadratic non-linearities: structural and qualitative properties
Grantee:Igor Leite Freire
Support Opportunities: Regular Research Grants