Figure 4

The solution \(\varphi _{1}(t,x)\) with \(k_{1}=\frac{\sqrt{2}}{2},k_{2}=\frac{\sqrt{2}}{2},c_{0}=-1,\varpi _{1}=1,\varpi _{2}=-2,\sigma =\frac{1}{2},\alpha =\frac{1}{2},h=\frac{1}{2}\).
The solution \(\varphi _{1}(t,x)\) with \(k_{1}=\frac{\sqrt{2}}{2},k_{2}=\frac{\sqrt{2}}{2},c_{0}=-1,\varpi _{1}=1,\varpi _{2}=-2,\sigma =\frac{1}{2},\alpha =\frac{1}{2},h=\frac{1}{2}\).