Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Main mathematical features of rational solutions \(u_{n}\) and \(v_{n}\) of order j

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

j	HPN	HPD	Background
1	2	2	1
2	12	12	1
3	30	30	1
…	…	…	…
j	2j(2j − 1)	2j(2j − 1)	1

Here, HPN is the highest power in the numerator, while HPD is the highest power in the denominator.

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