Continuum limit for the Ablowitz–Ladik system
Killip R, Ouyang Z, Vişan M, Wu L. 2023. Continuum limit for the Ablowitz–Ladik system. Nonlinearity. 36(7), 3751–3775.
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Author
Killip, Rowan;
Ouyang, Zhimeng;
Vişan, MonicaISTA;
Wu, Lei
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.
Keywords
Publishing Year
Date Published
2023-06-09
Journal Title
Nonlinearity
Publisher
IOP Publishing
Volume
36
Issue
7
Page
3751-3775
ISSN
eISSN
IST-REx-ID
Cite this
Killip R, Ouyang Z, Vişan M, Wu L. Continuum limit for the Ablowitz–Ladik system. Nonlinearity. 2023;36(7):3751-3775. doi:10.1088/1361-6544/acd978
Killip, R., Ouyang, Z., Vişan, M., & Wu, L. (2023). Continuum limit for the Ablowitz–Ladik system. Nonlinearity. IOP Publishing. https://doi.org/10.1088/1361-6544/acd978
Killip, Rowan, Zhimeng Ouyang, Monica Vişan, and Lei Wu. “Continuum Limit for the Ablowitz–Ladik System.” Nonlinearity. IOP Publishing, 2023. https://doi.org/10.1088/1361-6544/acd978.
R. Killip, Z. Ouyang, M. Vişan, and L. Wu, “Continuum limit for the Ablowitz–Ladik system,” Nonlinearity, vol. 36, no. 7. IOP Publishing, pp. 3751–3775, 2023.
Killip R, Ouyang Z, Vişan M, Wu L. 2023. Continuum limit for the Ablowitz–Ladik system. Nonlinearity. 36(7), 3751–3775.
Killip, Rowan, et al. “Continuum Limit for the Ablowitz–Ladik System.” Nonlinearity, vol. 36, no. 7, IOP Publishing, 2023, pp. 3751–75, doi:10.1088/1361-6544/acd978.
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