Rogue waves for a variable-coefficient Kadomtsev–Petviashvili equation in fluid mechanics
作者: Xiao-Yu WuBo TianLei LiuYan Sun
作者单位: 1State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
刊名: Computers and Mathematics with Applications, 2018, Vol.76 (2), pp.215-223
来源数据库: Elsevier Journal
DOI: 10.1016/j.camwa.2017.12.021
关键词: Fluid mechanicsVariable-coefficient Kadomtsev–Petviashvili equationRogue wavesKadomtsev–Petviashvili hierarchy reduction
原始语种摘要: Abstract(#br)Under investigation in this paper is a variable-coefficient Kadomtsev–Petviashvili equation in fluid mechanics, which describes the shallow-water waves with the weak nonlinearity and dispersion. Employing the Kadomtsev–Petviashvili hierarchy reduction, we obtain the rogue-wave solutions in terms of the Gramian. Periodic, cubic- and s-shaped line rogue waves are presented with different forms of the dispersion coefficient. The second-order rogue waves and multi-rogue waves are also graphically discussed. It is observed that only parts of the second-order rogue wave approach the constant background, and the other parts move to the far distance with the undiminished amplitudes. The multi-rogue waves describe the interaction of several first-order rogue waves. We plot the...
全文获取路径: Elsevier  (合作)
影响因子:2.069 (2012)

  • variable 变量
  • hierarchy 分级
  • coefficient 系数
  • mechanics 力学
  • equation 方程
  • rogue 歹徒
  • second 
  • parts 器件
  • terms 术语
  • approach