Figure 4

Third-order rogue wave solution \(\pmb{\tilde{u}_{3}}\) with \(\pmb{c=\alpha=1}\) , \(\pmb{\beta=2}\) given by Eq. ( 33 ) at different values of \(\pmb{b_{i}}\) , \(\pmb{d_{i}}\) ( \(\pmb{i=1,2}\) ). (a1)-(a2) \(b_{1}=d_{1}=b_{2}=d_{2}=0\); (b1)-(b2) \(b_{1}=1\text{,}000\), \(d_{1}=b_{2}=d_{2}=0\); (c1)-(c2) \(b_{2}=10\text{,}000\), \(b_{1}=d_{1}=d_{2}=0\); (d1)-(d2) \(b_{1}=90\), \(b_{2}=-1\text{,}080\), \(d_{1}=d_{2}=0\); (e1)-(e2) \(b_{1}=-140\), \(b_{2}=2\text{,}300\), \(d_{1}=d_{2}=0\). (Color online.)