Figure 1

KdV solutions of class I: (a) Complex breather for \(\xi =aX+4a^3t\) with \(\eta =2\) and (b) complex soliton for \(\eta =-aX+4a^3t\) with \(\xi =2\). In both cases \(a=1\).

KdV solutions of class I: (a) Complex breather for \(\xi =aX+4a^3t\) with \(\eta =2\) and (b) complex soliton for \(\eta =-aX+4a^3t\) with \(\xi =2\). In both cases \(a=1\).