The kink-soliton and antikink-soliton in quasi-one-dimensional nonlinear monoatomic lattice

作     者：XU Quan1 & TIAN Qiang2 1. Scientific and Technological Office, Daqing Teacher College, Daqing 163712, China 2. Department of Physics , Beijing Normal University, Beijing 100875, China 

作者机构：Scientific and Technological Office Daqing Teacher College Daqing China Department of Physics Beijing Normal University Beijing China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2005年第48卷第2期

页      面：150-157页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work was supported by the Foundation for University Key Teacher by the Ministry of Education of China supported by the Scientific and Technological Project of the Bureau of Education of Heilongjiang Province(Grant No.10543080) 

主　　题：two-dimensional nonlinear lattice, quasi-one-dimensional nonlinear lattice, kink-soliton, antikink-soliton. 

摘      要：The quasi-one-dimensional nonlinear monoatomic lattice is analyzed. The kink-soliton and antikink-soliton are presented. When the interaction of the lattice is strong in the x-direction and weak in the y-direction, the two-dimensional (2D) lattice changes to a quasi-one-dimensional lattice. Taking nearest-neighbor interaction into account, the vibration equation can be transformed into the KPI, KPII and MKP equation. Considering the cubic nonlinear potential of the vibration in the lattice, the kink-soliton solution is presented. Considering the quartic nonlinear potential and the cubic interaction potential, the kink-soliton and antikink-soliton solutions are presented.