Name
Abstract | ||
|---|---|---|
We investigate the traveling wave solutions for the ZK-BBM (m, n) equations u(t) + u(x) - a(u(m))(x) + (b(u(n))(xt) + k(u(n))(yt))(x) = 0 by using bifurcation method of dynamical systems. Firstly, for ZK-BBM(2, 2) equation, we obtain peakon wave, periodic peakon wave, and smooth periodic wave solutions and point out that the peakon wave is the limit form of the periodic peakon wave. Secondly, for ZK-BBM(3, 2) equation, we obtain some elliptic function solutions which include periodic blow-up and periodic wave. Furthermore, from the limit forms of the elliptic function solutions, we obtain some trigonometric and hyperbolic function solutions which include periodic blow-up, blow-up, and smooth solitary wave. We also show that our work extends some previous results. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1155/2013/156139 | JOURNAL OF APPLIED MATHEMATICS |
Keywords | Field | DocType |
null | Trigonometry,Mathematical optimization,Elliptic function,Mathematical analysis,Peakon,Hyperbolic function,Dynamical systems theory,Cnoidal wave,Periodic graph (geometry),Mathematics,Bifurcation | Journal |
Volume | Issue | ISSN |
2013 | null | 1110-757X |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shao Yong Li | 1 | 175 | 6.56 |
| Zhengrong Liu | 2 | 25 | 9.02 |