Open AccessSOLITONS IN ONE-DIMENSIONAL NONLINEAR MONOATOMIC CHAIN UNDER DAMPING
Author(s) -
Wang Deng-Long,
Xiaohong Yan,
Tang Yi,
Ding Jian-Wen,
Juexian Cao
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.1201
Subject(s) - monatomic gas , physics , nonlinear system , soliton , amplitude , toda lattice , envelope (radar) , chain (unit) , lattice (music) , classical mechanics , order (exchange) , mechanics , quantum mechanics , mathematical physics , integrable system , telecommunications , radar , finance , computer science , acoustics , economics
By virtue of the method of multiple scales, we have investigated the behavior of waves in a one-dimensional nonlinear monoatomic chain under damping and found that the amplitude of the lattice waves decreases and the group velocity becomes slow under the action of damping of an order of O(ε). At the same time, we have derived PDNLS equation and obtained its analytical solution. Our results show that: there exists propagating envelope soliton in the one-dimensional nonlinear monoatomic chain under the damping, provided the damping is of an order of O(ε). However, the chain supports the propagation of the soliton of bell shape or kink as the damping is of an order of O(ε2).