The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation
Analysis of PDEs
2022-06-22 v1
Abstract
We consider a three-parameter family of non-linear equations with order non-linearities. Such family includes as a particular member the well-known 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.
Keywords
Cite
@article{arxiv.2202.07110,
title = {The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation},
author = {Nilay Duruk Mutlubas and Igor Leite Freire},
journal= {arXiv preprint arXiv:2202.07110},
year = {2022}
}