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

• Articles • Previous Articles     Next Articles

PERTURBATION ANALYSIS FOR WAVE EQUATION OF NONLINEAR ELASTIC ROD

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

 
  

  1. 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

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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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