Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840438 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 18 Pages |
Abstract
We consider a family of non-evolutionary partial differential equations known as the Holm–Staley bb-family which includes the integrable Camassa–Holm and Degasperis–Procesi equations. We show that the solution map is not uniformly continuous. The proof relies on a construction of smooth periodic traveling waves with small amplitude.
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Authors
Ognyan Christov, Sevdzhan Hakkaev, Iliya D. Iliev,