A nonlinear generalized Degasperis-Procesi equation is investigated. Assuming that the strong solution of the equation is bounded in the sense of -norm and the initial data belong to the space , we prove that the solutions are stable in the space .
"On the Stability to a Generalized Degasperis-Procesi Equation." Abstr. Appl. Anal. 2014 (SI46) 1 - 6, 2014. https://doi.org/10.1155/2014/121489