Continuum limit for the Ablowitz–Ladik system
نویسندگان
چکیده
Abstract We show that solutions to the Ablowitz–Ladik system converge of cubic nonlinear Schrödinger equation for merely L 2 initial data. Furthermore, we consider data this lattice model excites Fourier modes near both critical points discrete dispersion relation and demonstrate convergence a decoupled equations.
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2023
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/acd978