Article ID Journal Published Year Pages File Type
4636202 Applied Mathematics and Computation 2006 12 Pages PDF
Abstract
The dynamical behavior and special exact solutions of the generalized Degasperis-Procesi equation ut + c0ux − utxx + auux = 3uxuxx + uuxxx is analyzed by using bifurcation theory and the method of phase portraits analysis. As a result, the analytic expressions of peakon solutions, compacton solutions and periodic cusp wave solutions are obtained. And the condition under which peakon and compacton solutions appear are also given. In the meantime, the reason that solitary cusp wave and periodic cusp wave appear is given.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
, ,