4 papers
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…
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…
Localization and global dynamics in the long-range discrete nonlinear Schrödinger equation
Brian Choi, Austin Marstaller, Alejandro Aceves
We study localization, pinning, and mobility in the fractional discrete nonlinear Schrödinger equation (fDNLS) with generalized power-law coupling. A finite-dimensional spatial-dy…
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…