非线性弦振动的摄动法及其K-dV方程的孤波解  

The Perturbation Method in Vibration of Nonlinear String and the Soutary Solution of K-dV Equation

作　　者：刘勇[1] 刘廷国[1] 

机构地区：[1]华东工学院机械工程系

出　　处：《华东工学院学报》1989年第2期38-44,共7页

摘　　要：本文用摄动法导出了非线性弦振动的K-dV方程,讨论了只有耗散和色散的特殊情况,然后详细讨论了K-dV方程的孤波解的性态,并给出了非线性弦振动孤波的主要特征.This,paper derives the K-dV equation in thevibration of nonlinear string by meane of Pertutbation method.The specific case with only dispersive or dissipation is discus-sed,Then the properties of the solutions of solitarv waves inK-dV equation are stated in more detail, and the main features ofthe solitary waves iu K-dV equation are stated in more detail, andthe main features of the solitarv waves in nonlinear string aregiven.

关 键 词：非线性 弦振劫 摄动法 孤波 

分 类 号：O322[理学—一般力学与力学基础]