Painlevé Analysis,Soliton Solutions and Bcklund Transformation for Extended (2 + 1)-Dimensional Konopelchenko-Dubrovsky Equations in Fluid Mechanics via Symbolic Computation

作者：许鹏博; 高以天; 于鑫; 王雷; 林国栋

来源：Communications in Theoretical Physics, 2011, 55(06): 1017-1023.

• extended (2 + 1)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics
• Painleve analysis
• soliton solutions
• Backlund transformation
• symbolic computation

<正>This paper is to investigate the extended(2+1)-dimensional Konopelchenko-Dubrovsky equations,which can be applied to describing certain phenomena in the stratified shear flow,the internal and shallow-water waves, plasmas and other fields.Painleve analysis is passed through via symbolic computation.Bilinear-form equations are constructed and soliton solutions are derived.Soliton solutions and interactions are illustrated.Bilinear-form Backlund transformation and a type of solutions are obtained.

• 单位
  软件开发环境国家重点实验室; 北京大学