Stochastic soliton solutions for the ( 2 + 1 ) -dimensional stochastic Broer–Kaup equations in a fluid or plasma
作者: Hui-Min YinBo TianJun ChaiXiao-Yu Wu
作者单位: 1State Key Laboratory of Information Photonics and Optical Communications, School of Science, and Automation School, Beijing University of Posts and Telecommunications, Beijing 100876, China
刊名: Applied Mathematics Letters, 2018, Vol.82 , pp.126-131
来源数据库: Elsevier Journal
DOI: 10.1016/j.aml.2017.12.005
关键词: ( 2 + 1 ) -dimensional stochastic Broer–Kaup equationFluid or plasmaSoliton solutionsWhite noise functional approach
原始语种摘要: Abstract(#br)In this paper, we investigate the ( 2 + 1 ) -dimensional stochastic Broer–Kaup equations for the shallow water wave in a fluid or electrostatic wave in a plasma. Through the symbolic computation, Hirota method and white noise functional approach, the stochastic one- and two-soliton solutions are derived. Through the stochastic one soliton solutions, we derive the velocities of solitons, respectively, and graphically investigate the effect of the white noise on the velocities. The effects of the Gaussian white noise on the dynamic properties of the solitons are discussed. We get that the white noise poses some influence to the soliton of U , where U is related to the horizontal velocity of the water wave, with which the soliton of U would vanish with time instead of...
全文获取路径: Elsevier  (合作)
影响因子:1.501 (2012)

  • stochastic 随机的
  • soliton 孤立子
  • dimensional 量纲的
  • approach 
  • asymptotic 渐近的
  • noise 噪声
  • White 怀特牌汽车
  • horizontal 水平线
  • white 白色
  • functional 功能的