|
|||||
|
|
Influence of cubic nonlinearity on the dispersion relation for long waves on a water surface |
|
| Authors: | A. V. Astashenok A. A. Zaitsev |
| Affiliation: | (1) Kurchatov Institute of Atomic Energy, Kaliningrad State University, ul. A. Nevskogo 14, Kaliningrad, 236041, Russia |
| Abstract: | The influence of cubic nonlinearity on the dispersion relation for long waves on a water surface is analyzed. In the long wavelength limit, it is shown that the dispersion relation is not affected by the cubic terms. The results are compared with the dispersion relation for stationary solutions to the Korteweg—de Vries equation. |
| Keywords: | shallow water theory of a fluid cubic nonlinearities in the wave equations dispersion relation approximate perturbation technique |
| 本文献已被 SpringerLink 等数据库收录！ | |