The dispersion relation for nonlinear waves in a developing process

Gu Daifang; Yuan Yeli

doi:10.1007/BF02850412

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The dispersion relation for nonlinear waves in a developing process

Updated：2023-05-16

- The dispersion relation for nonlinear waves in a developing process
- Journal of Oceanology and Limnology Vol. 4, Issue 3, Pages: 256-277(1986)
- Affiliations：
  
  Institute of Oceanology
- Author bio：
- Funds：
- DOI：10.1007/BF02850412
  CLC：
- Published：1986
- Accepted：
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Daifang, G., Yeli, Y. The dispersion relation for nonlinear waves in a developing process., Chin. J. Ocean. Limnol. 4, 256–277 (1986). https://doi.org/10.1007/BF02850412
DOI：

Daifang, G., Yeli, Y. The dispersion relation for nonlinear waves in a developing process., Chin. J. Ocean. Limnol. 4, 256–277 (1986). https://doi.org/10.1007/BF02850412 DOI：

摘要

Abstract

We derived the dispersion relation (correct to the second order in wave slope) of nonlinear waves in a developing process

proved that there are mainly three time scales in a developing process of nonlinear waves governed by coupling mechanisms. The three time scales are oscillation

evolution and developing time scales. We also proved that even in the developing process of nonlinear waves

there is no term in dispersion relation in proportion to the first order of wave slope. In a stationary case our results agreed with the discrete form obtained by Weber in 1977. Our computed results of wave speed in the wallops spectrum were in good agreement with the laboratory measurements made by Ramamonjiarisoa (1976) in energy-containing range.

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references

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