PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD

L&Uuml; Ke-pu; GUO Peng; ZHANG Lei; YI Jin-qiao

doi:10.1007/s10483-006-0910-z

Applied Mathematics and Mechanics >

2006 , Vol. 27 >Issue 9: 1233 - 1238

DOI: https://doi.org/10.1007/s10483-006-0910-z

Articles

PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD

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

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

Received date: 2005-12-19

Revised date: 2006-03-28

Online published: 2006-09-18

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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

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LÜ , Ke-pu , GUO Peng , ZHANG Lei , YI Jin-qiao . PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD[J]. Applied Mathematics and Mechanics, 2006 , 27(9) : 1233 -1238 . DOI: 10.1007/s10483-006-0910-z

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