By Dirk Hennig and others

While the Ablowitz-Ladik lattice is integrable, the Discrete Nonlinear Schr\"odinger equation, which is more significant for physical applications, is not. We prove closeness of the solutions of both systems in the sense of a "continuous dependence" on their initial data in the *l^2* and *l^{\infty}* metrics. The most striking relevance... Show more

December 13, 2021

Loading full text...

Similar articles

Loading recommendations...

x1

The closeness of the Ablowitz-Ladik lattice to the Discrete Nonlinear Schrödinger equation

Click on play to start listening