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Solution of nonlinear wave equation of elastic rod

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Abstract

The longitudinal oscillation of a nonlinear elastic rod with lateral inertia are studied. A nonlinear wave equation is derived. The equation is solved by the method of full approximation.

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Authors and Affiliations

  1. School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, P. R. China

    Guo Peng  (郭鹏) & Zhang Lei  (张磊)

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

    Lü Ke-pu  (吕克璞) & Duan Wen-shan  (段文山)

Authors
  1. Guo Peng  (郭鹏)
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  2. Zhang Lei  (张磊)
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  3. Lü Ke-pu  (吕克璞)
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  4. Duan Wen-shan  (段文山)
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Corresponding author

Correspondence to Lü Ke-pu  (吕克璞).

Additional information

Communicated by DAI Shi-qiang

Project supported by the National Natural Science Foundation of China (No. 10575082)

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Guo, P., Zhang, L., Lü, Kp. et al. Solution of nonlinear wave equation of elastic rod. Appl. Math. Mech.-Engl. Ed. 29, 61–66 (2008). https://doi.org/10.1007/s10483-008-0108-y

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  • DOI: https://doi.org/10.1007/s10483-008-0108-y

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Chinese Library Classification

2000 Mathematics Subject Classification

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