Branched-dispersion generalizations of Lotka–Volterra and Ablowitz–Ladik nonlinear integrable systems revisited from the intersite coupling standpoint

Abstract

The scrupulous inspection of actual inter-site coupling in generalized Lotka–Volterra and Ablowitz–Ladik nonlinear integrable systems with branched dispersion shows that the true essence, typifying each of them, is manifested as the collection of several basic physically independent semi-discrete (differential-difference) nonlinear integrable systems settled along the respective autonomous helical-like infinite chains.