Joint Application of Bilinear Operator and F-Expansion Method for ( 2 + 1 )-Dimensional Kadomtsev-Petviashvili Equation
作者: Shaolin LiYinghui HeYao LongMarcelo M. Cavalcanti
作者单位: 1Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China
刊名: Mathematical Problems in Engineering, 2014, Vol.2014
来源数据库: Hindawi Journal
DOI: 10.1155/2014/156483
原始语种摘要: The bilinear operator and F-expansion method are applied jointly to study ( 2 + 1 )-dimensional Kadomtsev-Petviashvili (KP) equation. An exact cusped solitary wave solution is obtained by using the extended single-soliton test function and its mechanical feature which blows up periodically in finite time for cusped solitary wave is investigated. By constructing the extended double-soliton test function, a new type of exact traveling wave solution describing the assimilation of solitary wave and periodic traveling wave is also presented. Our results validate the effectiveness for joint application of the bilinear operator and F-expansion method.
全文获取路径: Hindawi 

  • bilinear 双线性的
  • cusped 尖端的
  • traveling 移动式
  • feature 结构元件
  • effectiveness 有效性
  • soliton 孤立子
  • exact 精确
  • solitary 单独
  • constructing 合组
  • operator 话务员