40 citations · 128 across the 11 of their papers we have counts for
5 papers · 1 filter
A Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam model near the KdV Limit
A. Hoffman, C. E. Wayne
By combining results of Mizumachi on the stability of solitons for the Toda lattice with a simple rescaling and a careful control of the KdV limit we give a simple proof that small…
Universality of Crystallographic Pinning
A. Hoffman, J. Mallet-Paret
We study traveling waves for reaction diffusion equations on the spatially discrete domain . The phenomenon of crystallographic pinning occurs when traveling waves become pin…
Asymptotic two-soliton solutions in the Fermi-Pasta-Ulam model
A. Hoffman, C. E. Wayne
We prove the existence of asymptotic two-soliton states in the Fermi-Pasta-Ulam model with general interaction potential. That is, we exhibit solutions whose difference in …
Existence and uniqueness of traveling waves in a class of unidirectional lattice differential equations
Aaron Hoffman, Benjamin Kennedy
We prove the existence and uniqueness, for wave speeds sufficiently large, of monotone traveling wave solutions connecting stable to unstable spatial equilibria for a class of -…
Counterpropagating Two-Soliton Solutions in the FPU Lattice
A. Hoffman, C. E. Wayne
We study the interaction of small amplitude, long wavelength solitary waves in the Fermi-Pasta-Ulam model with general nearest-neighbor interaction potential. We establish global-i…