非线性弹性杆波动方程的摄动分析  

Perturbation Analysis for Wave Equation of A Nonlinear Elastic Rod

作　　者：吕克璞[1] 郭鹏[1] 张磊[1] 易金桥[1] 段文山[1] 

机构地区：[1]西北师范大学物理与电子工程学院,兰州730070

出　　处：《应用数学和力学》2006年第9期1079-1083,共5页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10247008)

摘　　要：针对计入横向惯性效应后的非线性弹性杆纵向波动方程进行了分析.在小振幅、长波长的一般情况下,根据远方场简单波理论,采用约化摄动法,得到了NLS方程,并讨论了存在NLS孤子的条件.The longitudinal oscillation of a nonlinear elastic rod with lateral inertia were studied. Based on the far field and simple wave theory, a nonlinear Schroedinger （NLS） equation was established under the assumption of small amplitude and long wavelength, It is found that there are NLS envelope solitons in this system, Finally the soliton solution of the NLS equation is presented.

关 键 词：非线性弹性杆 远方场 NLS方程 

分 类 号：O357.1[理学—流体力学]