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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…
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…