| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4620727 | Journal of Mathematical Analysis and Applications | 2008 | 7 Pages |
Abstract
In this paper, by using bifurcation method, we successfully find the Fornberg–Whitham equationut−uxxt+ux=uuxxx−uux+3uxuxx,ut−uxxt+ux=uuxxx−uux+3uxuxx, has a type of traveling wave solutions called kink-like wave solutions and antikink-like wave solutions. They are defined on some semifinal bounded domains and possess properties of kink waves and anti-kink waves. Their implicit expressions are obtained. For some concrete data, the graphs of the implicit functions are displayed, and the numerical simulation is made. The results show that our theoretical analysis agrees with the numerical simulation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jiangbo Zhou, Lixin Tian,