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math.AP2025
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 no…
math.AP2025
Nonexistence of traveling wave solutions in the fractional Rosenau-Hyman equation via homotopy perturbation method
Brian Choi
We apply the homotopy perturbation method to construct series solutions for the fractional Rosenau-Hyman (fRH) equation and study their dynamics. Unlike the classical RH equation w…