含微结构二维固体中非对称孤立波的存在条件  

ASYMMETRIC SOLITARY WAVES AND THEIR EXISTENCE CONDITIONS IN 2D SOLIDS WITH MICROSTRUCTURES

作　　者：王德鑫[1] 那仁满都拉[1] Wang Dexin;Naranmandula(College of Physics and Electronics,Inner Mongolia University for Nationalities,Tongliao 028043,China)

机构地区：[1]内蒙古民族大学物理与电子信息学院,通辽028043

出　　处：《动力学与控制学报》2018年第3期211-216,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金(11462019)~~

摘　　要：根据Mindlin微结构理论重新推导了含微结构的二维固体中孤立波传播的控制方程.利用行波变换,把复杂的非线性偏微分方程组简化为一非线性常微分方程.最后用动力系统定性分析理论,分析了含微结构的二维固体中孤立波的存在条件及其几何特性,证明了当介质中的某些参数满足适当条件时,在含微结构的二维固体中可以存在一种非对称孤立波.The governing equations of the propagation of solitary waves are reformulated in two-dimensional microstructures solids through the Mindlin theory. And by using the traveling wave transformation,the complicated nonlinear partial differential equations are then simplified to a nonlinear ordinary differential equation. Finally,using the qualitative analysis theory of the dynamical systems,the existence conditions and geometrical characteristics of the solitary waves in two-dimensional microstructure solids were analyzed. They can form an asymmetric solitary wave in the two-dimensional microstructure solids,when the medium parameters satisfy certain appropriate conditions.

关 键 词：微结构二维固体 孤立波 存在条件 

分 类 号：O175[理学—数学]