| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4642859 | Journal of Computational and Applied Mathematics | 2007 | 12 Pages |
Abstract
In this paper, we employ the bifurcation theory of planar dynamical systems to study the smooth and nonsmooth traveling wave solutions of the generalized Degasperis-Procesi equationut-uxxt+4umux=3uxuxx+uuxxx.ut-uxxt+4umux=3uxuxx+uuxxx.The parameter condition under which peakons, compactons and periodic cusp wave solutions exist is given. The numerical simulation results show the consistence with the theoretical analysis at the same time.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lijun Zhang, Li-Qun Chen, Xuwen Huo,