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Investigation on the resonance phenomena of multi-solitons for the (3+1)-dimensional Kadomtsev-Petviashvili equation
引用本文:石玉仁,张娟,杨红娟,段文山,Karl E. Lonngren.Investigation on the resonance phenomena of multi-solitons for the (3+1)-dimensional Kadomtsev-Petviashvili equation[J].中国物理 B,2011,20(1):15205-015205.
作者姓名:石玉仁  张娟  杨红娟  段文山  Karl E. Lonngren
作者单位:[1]College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China [2]Department of Electrical and Computer Engineering, The University of Iowa, Iowa City, IA 52242, USA
基金项目: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).
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收稿时间:6/4/2010 12:00:00 AM

Investigation on the resonance phenomena of multi-solitons for the (3+1)-dimensional Kadomtsev–Petviashvili equation
Shi Yu-Ren,Zhang Juan,Yang Hong-Juan,Duan Wen-Shan and Karl E. Lonngren.Investigation on the resonance phenomena of multi-solitons for the (3+1)-dimensional Kadomtsev–Petviashvili equation[J].Chinese Physics B,2011,20(1):15205-015205.
Authors:Shi Yu-Ren  Zhang Juan  Yang Hong-Juan  Duan Wen-Shan and Karl E Lonngren
Institution:College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;Department of Electrical and Computer Engineering, The University of Iowa, Iowa City, IA 52242, USA
Abstract: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.
Keywords:Kadomtsev--Petviashvili equation  soliton  resonance
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