Solution of a Nonlinear Wave Equation of Elastic Rod

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

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GUO Peng, ZHANG Lei, LÜ Ke-pu, DUAN Wen-shan. Solution of a Nonlinear Wave Equation of Elastic Rod[J]. Applied Mathematics and Mechanics, 2008, 29(1): 57-61.

Citation:

GUO Peng, ZHANG Lei, LÜ Ke-pu, DUAN Wen-shan. Solution of a Nonlinear Wave Equation of Elastic Rod[J]. Applied Mathematics and Mechanics, 2008, 29(1): 57-61.

Citation:

GUO Peng, ZHANG Lei, LÜ Ke-pu, DUAN Wen-shan. Solution of a Nonlinear Wave Equation of Elastic Rod[J]. Applied Mathematics and Mechanics, 2008, 29(1): 57-61.

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Solution of a Nonlinear Wave Equation of Elastic Rod

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

Received Date: 2007-03-14
Rev Recd Date: 2007-12-05
Publish Date: 2008-01-15

Abstract

Abstract

The longitudinal oscillation of a nonlinear elasticrod with lateral inertia were studied. A nonlinear wave equation is derived. The equation is solved by the method of full approximation.
- nonlinear elasticrod,
- method of full approximation,
- KdV equation,
- the combined KdV and mKdV equation

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References(8)

References

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