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Theory and Modern Applications

Figure 9 | Advances in Difference Equations

Figure 9

From: Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves

Figure 9

Exact one-soliton solutions \(\widetilde{u}_{n}\) and \(\widetilde {v}_{n}\) in (50) with \(N=1\) via the parameters \(r_{1}=-1\), \(r_{2}=1\), \(\lambda_{1}=-1\), \(\lambda_{2}=-2\). (a) Exact solution; (b) Time evolution using exact solution as an initial condition; (c) Time evolution using exact solution perturbed by a 2% noise as the initial condition

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