### Abstract

The consistence between the Stokes wave theory and general wave theory is examined in this study. As well known, the nonlinear terms of Stokes wave are generated by the self-interaction of first-order wave. On the other side, using the general wave theory one can also obtain the nonlinear solutions according to the interaction of n waves with the same amplitude, frequency and phase. It is found that the inconsistence between these two wave trains arises due to the subharmonic effects included in general wave theory but not considered in the Stokes theory. In conclusion, these two theories are substantially different unless the Bernoulli constants are properly chosen for mathematical equivalence.

Original language | English |
---|---|

Journal | Journal of Mechanics |

Volume | 25 |

Issue number | 3 |

Publication status | Published - 2009 Sep 1 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Condensed Matter Physics
- Mechanical Engineering
- Applied Mathematics

### Cite this

*Journal of Mechanics*,

*25*(3).

}

*Journal of Mechanics*, vol. 25, no. 3.

**The consistence between the stokes wave theory and general wave theory.** / Liu, C. M.; Hwung, H. H.; Yang, Ray-Yeng.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The consistence between the stokes wave theory and general wave theory

AU - Liu, C. M.

AU - Hwung, H. H.

AU - Yang, Ray-Yeng

PY - 2009/9/1

Y1 - 2009/9/1

N2 - The consistence between the Stokes wave theory and general wave theory is examined in this study. As well known, the nonlinear terms of Stokes wave are generated by the self-interaction of first-order wave. On the other side, using the general wave theory one can also obtain the nonlinear solutions according to the interaction of n waves with the same amplitude, frequency and phase. It is found that the inconsistence between these two wave trains arises due to the subharmonic effects included in general wave theory but not considered in the Stokes theory. In conclusion, these two theories are substantially different unless the Bernoulli constants are properly chosen for mathematical equivalence.

AB - The consistence between the Stokes wave theory and general wave theory is examined in this study. As well known, the nonlinear terms of Stokes wave are generated by the self-interaction of first-order wave. On the other side, using the general wave theory one can also obtain the nonlinear solutions according to the interaction of n waves with the same amplitude, frequency and phase. It is found that the inconsistence between these two wave trains arises due to the subharmonic effects included in general wave theory but not considered in the Stokes theory. In conclusion, these two theories are substantially different unless the Bernoulli constants are properly chosen for mathematical equivalence.

UR - http://www.scopus.com/inward/record.url?scp=67650832145&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67650832145&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:67650832145

VL - 25

JO - Journal of Mechanics

JF - Journal of Mechanics

SN - 1727-7191

IS - 3

ER -