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Theory and Modern Applications

Figure 6 | Advances in Difference Equations

Figure 6

From: Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions

Figure 6

Profile and contour plots of one breather localized in time. (a) Evolution of the one-breather-soliton solution \(u^{(1)}_{bs}\) with parameters \(\alpha=1\), \(\epsilon=0.5\), \(\delta=1\), \(a=0\), \(\lambda_{1}=\frac{3}{4} i\). (b) The corresponding density plot of \(u^{(1)}_{bs}\) in (a). (c) Evolution plot of \(u^{(1)}_{bs}\) with parameters \(\alpha=1\), \(\epsilon=0\), \(\delta=1\), \(a=0\), \(\lambda_{1}=\frac {3}{4} i\). (d) The corresponding density plot of \(u^{(1)}_{bs}\) in (c).

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