Perturbation Analysis for Wave Equation of A Nonlinear Elastic Rod

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

Volume 27 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(9): 1079-1083

LÜ Ke-pu, GUO Peng, ZHANG Lei, YI Jin-qiao, DUAN Wen-shan. Perturbation Analysis for Wave Equation of A Nonlinear Elastic Rod[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1079-1083.

Citation:

LÜ Ke-pu, GUO Peng, ZHANG Lei, YI Jin-qiao, DUAN Wen-shan. Perturbation Analysis for Wave Equation of A Nonlinear Elastic Rod[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1079-1083.

Citation:

LÜ Ke-pu, GUO Peng, ZHANG Lei, YI Jin-qiao, DUAN Wen-shan. Perturbation Analysis for Wave Equation of A Nonlinear Elastic Rod[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1079-1083.

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Perturbation Analysis for Wave Equation of A Nonlinear Elastic Rod

1.
College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, P. R. China

Received Date: 2005-12-19
Rev Recd Date: 2006-03-28
Publish Date: 2006-09-15

Abstract

Abstract

The longitudinal oscillation of a nonlinear elastic rod with lateral inertia were studied. Based on the far field and simple wave theory, a nonlinear Schr^L dinger (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.
- nonlinear elastic rod,
- far field,
- NLS equation

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References(7)

References

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