@article{22046,
  abstract     = {We show that solutions to the Ablowitz–Ladik system converge to solutions of the cubic nonlinear Schrödinger equation for merely L2 initial data. Furthermore, we consider initial data for this lattice model that excites Fourier modes near both critical points of the discrete dispersion relation and demonstrate convergence to a decoupled system of nonlinear Schrödinger equations.},
  author       = {Killip, Rowan and Ouyang, Zhimeng and Visan, Monica and Wu, Lei},
  issn         = {1361-6544},
  journal      = {Nonlinearity},
  keywords     = {Ablowitz–Ladik, continuum limit, cubic NLS},
  number       = {7},
  pages        = {3751--3775},
  publisher    = {IOP Publishing},
  title        = {{Continuum limit for the Ablowitz–Ladik system}},
  doi          = {10.1088/1361-6544/acd978},
  volume       = {36},
  year         = {2023},
}