PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD

doi:10.1007/s10483-006-0910-z

Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (9): 1233-1238 .doi: https://doi.org/10.1007/s10483-006-0910-z

PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD

吕克璞, 郭鹏, 张磊, 易金桥, 段文山

收稿日期:2005-12-19 修回日期:2006-03-28 出版日期:2006-09-18 发布日期:2006-09-18
通讯作者: 郭鹏

PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD

LÜ Ke-pu, GUO Peng, ZHANG Lei, YI Jin-qiao, DUAN Wen-shan

College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, P. R. China

Received:2005-12-19 Revised:2006-03-28 Online:2006-09-18 Published:2006-09-18
Contact: GUO Peng

摘要/Abstract

Abstract: The longitudinal oscillation of a nonlinear elastic rod with lateral inertia was studied. Based on the far field and simple wave theory, a nonlinear Schrödinger (NLS) equation was established under the assumption of small amplitude and long wavelength. It is found that there are NLS envelop solitons in this system. Finally the soliton solution of the NLS equation was presented.

Key words: nonlinear elastic rod, far field, NLS equation

中图分类号:

吕克璞;郭鹏;张磊;易金桥;段文山. PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(9): 1233-1238 .

LÜKe-pu;GUO Peng;ZHANG Lei;YI Jin-qiao;DUAN Wen-shan . PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(9): 1233-1238 .

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PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD

PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD

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