On the Study of Local Solutions for a Generalized Camassa-Holm Equation

Abstract

The pseudoparabolic regularization technique is employed to study the local well-posedness of strong solutions for a nonlinear dispersive model, which includes the famous Camassa-Holm equation. The local well-posedness is established in the Sobolev space $H^s(R)$ with $s>3/2$ via a limiting procedure.