Integrability, multi-soliton and rational solutions, and dynamical analysis for a relativistic Toda lattice system with one perturbation parameter

Meng-Li Qin,Xiao-Yong Wen,Cui-Lian Yuan

Table 2. Main mathematical features of rational solutions an and bn of order j.

j HPN(an) HPD(an) HPN(bn) HPD(bn) Background(an) Background(bn) 1 6 6 4 6 1 0 2 20 20 18 20 1 0 3 42 42 40 42 1 0 ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ j 2j(2j + 1) 2j(2j + 1) 2j(2j + 1) − 2 2j(2j + 1) 1 0