2016/09/30 by Zhenying Wen, Jun Tao, Wen, Zhenying +3
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS)
paper · pdf · doi:10.48550/arxiv.1609.09800
openalex publication_date 2016/09/30 · openalex created_date 2016/10/14 · openalex updated_date 2026/07/28
In this paper, we study the smooth transition from solitons to solitary waves in localization, relation between energy and velocity, propagation and scattering property in the Fermi-Pasta-Ulam lattice analytically and numerically. A soliton is a very stable solitary wave that retains its permanent structure after interacting with other solitary waves. A soliton exists when the energy is small, and it becomes a solitary wave when the energy increases to the threshold. The transition could help to understand the distinctly different heat conduction behaviors of the Fermi-Pasta-Ulam lattice at low and high temperature.