Investigation on the resonance phenomena of multi-solitons for the (3+1)-dimensional Kadomtsev-Petviashvili equation  

作　　者：石玉仁 张娟 杨红娟 段文山 Karl E.Lonngren 

机构地区：[1]College of Physics and Electronic Engineering,Northwest Normal University [2]Department of Electrical and Computer Engineering,The University of Iowa,Iowa City,IA 52242,USA

出　　处：《Chinese Physics B》2011年第1期473-478,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.10575082);the Key Project Foundation of the Education Ministry of China(Grant No.209128);the Natural Science Foundation of Northwest Normal University(Grant No.NWNU-KJCXGC-03-53)

摘　　要：In this paper, we theoretically investigate the four-soliton interaction and their resonance phenomena of the （3＋1）- dimensional Kadomtsev Petviashvili （KP） equation. We find that the maximum amplitude of the resonantly created soliton can be 16 times that of one of the four equi-amplitude initial interacting solitons. We also find that the maximum amplitude can only be 4 times the initial soliton amplitude when the resonance phenomena does not take place. The case of four solitons with different amplitudes also has been studied analytically. The results indicate that the resonance phenomena still exists in this case. Numerical results confirm the theoretical predictions.In this paper, we theoretically investigate the four-soliton interaction and their resonance phenomena of the （3＋1）- dimensional Kadomtsev Petviashvili （KP） equation. We find that the maximum amplitude of the resonantly created soliton can be 16 times that of one of the four equi-amplitude initial interacting solitons. We also find that the maximum amplitude can only be 4 times the initial soliton amplitude when the resonance phenomena does not take place. The case of four solitons with different amplitudes also has been studied analytically. The results indicate that the resonance phenomena still exists in this case. Numerical results confirm the theoretical predictions.

关 键 词：Kadomtsev-Petviashvili equation SOLITON RESONANCE 

分 类 号：O53[理学—等离子体物理]