We investigate the traveling solitary wave solutions of the generalized Camassa-Holm equation on the nonzero constant pedestal . Our procedure shows that the generalized Camassa-Holm equation with nonzero constant boundary has cusped and smooth soliton solutions. Mathematical analysis and numerical simulations are provided for these traveling soliton solutions of the generalized Camassa-Holm equation. Some exact explicit solutions are obtained. We show some graphs to explain our these solutions.
"Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal." Abstr. Appl. Anal. 2014 (SI67) 1 - 10, 2014. https://doi.org/10.1155/2014/423063