一维单原子链非线性振动的孤子解和呼吸子解  

The soliton of breathers solution of the nonlinear vibraion in one-dimensional monoatomic chain

作　　者：徐权[1] 夏遵义[2] 

机构地区：[1]大庆高等专科学校科研处,大庆163712 [2]大庆高等专科学校物理系,大庆163712

出　　处：《齐齐哈尔大学学报（自然科学版）》2004年第1期82-85,共4页Journal of Qiqihar University(Natural Science Edition)

基　　金：黑龙江省教育厅科学技术研究项目

摘　　要：运用连续极限近似,求解一维单原子链的非线性振动方程,得到了一维单原子晶格振动的孤子解,在考虑三次非简谐势的情况下,一维单原子链晶格振动具有扭结孤子解,在考虑具有四次非简谐势的情况下,得到一维单原子链晶格振动具有呼吸子解。By virtue of the method of continuum limit, we obtained the solitons of the vibration of lattice in one-dimensional monoatomic chains, through that the equations of nonlinear vibration of one-dimensional monoatomic chains are solved. Under considering cubic anharmonic potential , the vibration of lattice in one-dimensional monoatomic chain have solution of kink soliton and under considering quartic anhannonic potential, the vibration of lattice in one-dimensional monoatomic chain have solution of breathers.

关 键 词：一维单原子链 非线性振动 孤子解 呼吸子解 非线性效应 连续极限 

分 类 号：O322[理学—一般力学与力学基础]