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Investigation on the resonance phenomena of multi-solitons for the （3＋1）-dimensional Kadomtsev-Petviashvili equation
  • ISSN号：1674-1056
  • 期刊名称：《中国物理B：英文版》
  • 时间：0
  • 分类：O321[理学—一般力学与力学基础;理学—力学] TN929.11[电子电信—通信与信息系统;电子电信—信息与通信工程]
  • 作者机构：[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
  • 相关基金：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）.
作者： 石玉仁[1], 张娟[1], 杨红娟[1], 段文山[1], Karl E.Lonngren[2]
关键词： 孤子相互作用, 共振现象, 方程, 大振幅, 共振振幅, 理论预测, 数值结果, 解析, Kadomtsev-Petviashvili equation, soliton, resonance
中文摘要：

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.

英文摘要：

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.

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期刊信息
  • 《中国物理B：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国物理学会和中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京 中关村 中国科学院物理研究所内
  • 邮编：100080
  • 邮箱：
  • 电话：010-82649026 82649519
  • 国际标准刊号：ISSN：1674-1056
  • 国内统一刊号：ISSN：11-5639/O4
  • 邮发代号:
  • 获奖情况:
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  • 被引量:406