准一维单原子晶格非线性振动方程的双周期解  

The Douball-Periodical Solutions of Nonlinear Vibration Equation in Quasi-one-dimensional Monoatomic Lattice

作　　者：杨丽英[1] 

机构地区：[1]内蒙古农业大学理学院,内蒙古呼和浩特010018

出　　处：《数学的实践与认识》2013年第1期228-232,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11262017);内蒙古自然科学基金(2009MS0102)

摘　　要：利用行波变量代换和辅助椭圆方程法,求解了准一维单原子非线性晶格振动方程,得到了新的双周期波形式的椭圆函数解.在极限情形下,不仅可以还原为前人给出的扭结孤子解,同时还给出了一类新的类孤子解.The equations of nonlinear vibration in quasi-one-dimensional monoatomic lat- tice were solved by virtue of the method of travelling wave transformation and auxiliary elliptic equation. Some new double-periodical solutions in terms of Jaccobi elliptic func- tions are obtained. When the module of Jaccobi elliptic function tends to zero, these new double-periodical solutions degenerate the kink-solitons and like-solitons of nonlinear vibra- tion equation in quasi-one-dimensional monoatomic lattice.

关 键 词：准一维单原子晶格 非线性振动方程 椭圆函数 孤立波 周期波 

分 类 号：O175[理学—数学]