Skip to main navigation Skip to search Skip to main content

Spatial shift of lattice soliton scattering in the Fermi-Pasta-Ulam model

  • Tao Jin*
  • , Hong Zhao
  • , Bambi Hu
  • *Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

11 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number037601
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume81
Issue number3
DOIs
Publication statusPublished - 9 Mar 2010

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 9 - Industry, Innovation, and Infrastructure
    SDG 9 Industry, Innovation, and Infrastructure

Fingerprint

Dive into the research topics of 'Spatial shift of lattice soliton scattering in the Fermi-Pasta-Ulam model'. Together they form a unique fingerprint.

Cite this