Figure 2

Solutions of class II: (a) Complex KdV and (b) complex mKdV breathers for \(\xi =aX-2a^3t\) with \(\eta =2\). (c) Complex KdV and (d) complex mKdV solitons for \(\eta =aX+2a^3t\) with \(\xi =2\). In all cases \(a=1\).
Solutions of class II: (a) Complex KdV and (b) complex mKdV breathers for \(\xi =aX-2a^3t\) with \(\eta =2\). (c) Complex KdV and (d) complex mKdV solitons for \(\eta =aX+2a^3t\) with \(\xi =2\). In all cases \(a=1\).