On head-on collison between two gKdV solitary waves in a stratified fluid |
| |
| Authors: | Zhu Yong Dai Shiqiang |
| |
| Affiliation: | (1) Laboratory for Nonlinear Mechanics of Continuous Media, Inst. of Mech. CAS, 100080 Beijing, China;(2) Present address: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, 200072 Shanghai, China |
| |
| Abstract: | In this paper, using the reductive perturbation method combined with the PLK method and two- parameter expansions, we treat the problem of head- on collision between two solitary waves described by the generalized Korteweg- de Vries equation (the gKdV equation) and obtain its second-order approximate solution. The results show that after the collision, the gKdV solitary waves preserve their profiles and during the collision, the maximum amplitute is the linear superposition of two maximum amplitudes of the impinging solitary waves. |
| |
| Keywords: | gKdV solitary wave head-on collision reductive perturbation method PLK method |
| 本文献已被 SpringerLink 等数据库收录！ |
|
