A New Discrete Integrable System Derived from a Generalized Ablowitz-Ladik Hierarchy and Its Darboux Transformation

Figure 1

The profiles of 𝑝_𝑛,𝑟_𝑛̃ in (3.8) for 𝜆₁=5,𝜆₂=12,𝛾₁=0.5,𝛾₂=0.6,𝛿₁>0,𝛿₂>0.

(a) t = −0.003

(b) t = 0

(c) t = 0.002

(d) t = −0.003

(e) t = 0

(f) t = 0.002