Spatial shift of lattice soliton scattering in the Fermi-Pasta-Ulam model.
Spatial shift produced in scattering process of lattice soliton is studied in the Fermi-Pasta-Ulam model with anharmonic-limit potential. Kink-shaped and antikink-shaped lattice solitons are excited by kicking one single particle. Different behaviors are discovered in two types of head-on collision: kink-kink-shaped collision and kink-antikink-shaped collision. In both cases, the spatial shift not only depends on the scattering pair of lattice solitons but also depends on their collision configuration, i.e., their phase difference. To make a comparison between integrable and nonintegrable lattices, and also to check our method, the Toda model is revisited.
Jin
Tao
T
Department of Physics, Centre for Nonlinear Studies, and The Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems Hong Kong, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China.
Zhao
Hong
H
Hu
Bambi
B