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The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation by Mutlubas, Nilay Duruk; Freire, Igor Leite is a scholarly article available to read on EtoBox.

What is The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation about?

We consider a three-parameter family of non-linear equations with $(p+1)-$order non-linearities. Such 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 prevent the wave breaking of solutions. Also, we explore unique continuation properties for some values of the parameters.

Author

Mutlubas, Nilay Duruk; Freire, Igor Leite

Published

2022

Language

EN