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nlin.PS2024
Nonlinear excitations in multi-dimensional nonlocal lattices
Brian Choi
We study the formation of breathers in multi-dimensional lattices with long-range interactions. By variational methods, the exact relationship between various parameters (dimension…
math.AP2024
Dynamics of periodic fractional discrete NLS in the continuum limit
Brian Choi
The fractional discrete nonlinear Schrödinger equation (fDNLS) is studied on a periodic lattice from the analytic and dynamic perspective by varying the mesh size and the non…