| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4630849 | Applied Mathematics and Computation | 2012 | 7 Pages |
Abstract
In this paper, we employ the bifurcation method of dynamical systems to investigate the BBM-like B(2, 2) equation. The phase portrait bifurcation of the traveling wave system corresponding to the equation is given. Under different parametric conditions, various sufficient conditions to guarantee the existence of smooth and non-smooth traveling wave solutions are given. Through some special phase orbits, Some solitary wave solutions expressed by implicit functions, periodic cusp wave solution, compacton solution and peakon solution are obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Bo Jiang, Yi Lu, Qiang Ma, Yi Cao, Yunzhi Zhang,