A nonlinear generalization of the Camassa-Holm equation is investigated. By making use of the pseudoparabolic regularization technique, its local well posedness in Sobolev space with is established via a limiting procedure. Provided that the initial value satisfies the sign condition and , it is shown that there exists a uniqueglobal solution for the equation in space .
"The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation." Abstr. Appl. Anal. 2012 (SI18) 1 - 26, 2012. https://doi.org/10.1155/2012/532369