Exact explicit travelling wave solutions for the (n+1)(n+1)-dimensional Φ6Φ6 field model

The bifurcation theory method of dynamic systems is applied to the (n+1)(n+1)-dimensional Φ6Φ6 field model. As a result, the bifurcation parameter sets and the corresponding phase portraits are given. Under different parameter conditions, all exact explicit parametric representations of solitary waves, kink and anti-kink waves and periodic waves are obtained.