Towered waves and anti-waves in the generalized Degasperis-Procesi equation
New traveling wave solutions of the generalized Degasperis-Procesi equation are investigated. The solutions are characterized by three parameters. Using an improved qualitative method, abundant traveling wave solutions, such as smooth waves, peaked waves, cusped waves, compacted waves, looped waves and fractal-like waves, are obtained. Especially, some strange composite wave solutions such as towered waves and their anti-waves are first given. We also study the limiting behavior of all periodic solutions as the parameters trend to some special values. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.
towered waves generalized degasperis-procesi equation fractal-like waves composite waves limiting behavior