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Theory and Modern Applications

Figure 8 | Advances in Difference Equations

Figure 8

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

Figure 8

Profile and contour plots of two breathers of second kind. (a) Evolution of the two-breather solution \(u^{(2)}_{bs}\) with parameters \(\alpha=1\), \(\epsilon=0\), \(\delta=1\), \(a=0\), \(\lambda_{1}=\frac{3}{4} i\), \(\lambda_{2}=\frac{4}{5} i\). (b) The corresponding density plot of \(u^{(2)}_{bs}\) in (a). (c) Evolution of the two-breather solution \(u^{(2)}_{bs}\) with parameters \(\alpha=1\), \(\epsilon=0\), \(\delta=1\), \(a=0\), \(\lambda_{1}=\frac{5}{4} i\), \(\lambda_{2}=\frac {3}{2} i\). (d) The corresponding density plot of \(u^{(2)}_{bs}\) in (c).

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