The characters of nonlinear vibration in the two-dimensional discrete monoatomic lattice  

作　　者：XUQuan TIANQiang 

机构地区：[1]ScientificandTechnologicalOffice,DaqingTeachersCollege,Daqing163712,China [2]DepartmentofPhysics,BeijingNormalUniversity,Beijing100875,China

出　　处：《Chinese Science Bulletin》2005年第1期5-10,共6页

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

摘　　要：The two-dimensional discrete monoatomic lat- tice is analyzed. Taking nearest-neighbor interaction into account, the characters of the nonlinear vibration in two-dimensional discrete monoatomic lattice are described by the two-dimensional cubic nonlinear Schrodinger equa- tion. Considering the quartic nonlinear potential, the two-dimensional discrete-soliton trains and the solutions perturbed by the neck mode are presented.The two-dimensional discrete monoatomic lattice is analyzed. Taking nearest-neighbor interaction into account, the characters of the nonlinear vibration in two-dimensional discrete monoatomic lattice are described by the two-dimensional cubic nonlinear Schrodinger equation. Considering the quartic nonlinear potential, the two-dimensional discrete-soliton trains and the solutions perturbed by the neck mode are presented.

关 键 词：非线性振动 表征 二维空间离散 单原子格 混沌解答 

分 类 号：O322[理学—一般力学与力学基础]