TY - JOUR
T1 - Spatial shift of lattice soliton scattering in the Fermi-Pasta-Ulam model
AU - Jin, Tao
AU - Zhao, Hong
AU - Hu, Bambi
N1 - We thank the constructive discussions with members of Centre for Nonlinear Studies at Hong Kong Baptist University. This work was supported by the National Natural Science Foundation of China under Grant No. 10775115 and the National Basic Research Program of China (973 Program) (Program No. 2007CB814800).
Publisher copyright:
© 2010 American Physical Society
PY - 2010/3/9
Y1 - 2010/3/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=77749292999&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.81.037601
DO - 10.1103/PhysRevE.81.037601
M3 - Journal article
AN - SCOPUS:77749292999
SN - 1539-3755
VL - 81
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 037601
ER -
