For a nonlinear generalization of the Camassa-Holm equation, we investigate the dynamic properties of solutions for the equation under the assumption that the initial value lies in the space . A one-sided upper bound estimate on the first-order spatial derivative, bound estimate, and a space-time higher-norm estimate for the solutions are obtained.
"Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation." Abstr. Appl. Anal. 2013 (SI42) 1 - 5, 2013. https://doi.org/10.1155/2013/247841