| MSC: | 35Q51 | Solitons [See also 37K40] |
| 35Q58 | Other completely integrable equations [See also 37J35, 37K10] | |
| 37K50 | Bifurcation problems |
Abstract:
In this paper, a improved method named the integral
bifurcation is introduced. In order to demonstrate its
effectiveness for obtaining travelling waves of the nonlinear wave
equations, we studied the modified equal width wave equation and
its variants by this new method. Under the different parameter
conditions, many integral bifurcations are obtained. According to
these integral bifurcations, different kinds of travelling wave
solutions are figured out. Compared with \cite{rui-s1}, many new travelling
wave solutions are obtained.