A Method and Its Implementation for Constructing Bäcklund Transformations to Nonlinear Evolution Equations

  • Zhibin Li
  • Yinping Liu
  • Haifeng Qian
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5081)


An algorithmic method to construct a kind of auto Bäcklund transformations (BTs) is proposed. A Maple package AutoBT, which can entirely automatically generate auto BT is presented. AutoBT has been effectively applied to many nonlinear evolution equations with physical significance. Not only are previously known BT recovered but also in some cases new and more general form of BT are obtained.


Burger Equation Nonlinear Evolution Equation Nonlinear PDEs Parameter Constraint mKdV Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Zhibin Li
    • 1
    • 2
  • Yinping Liu
    • 2
  • Haifeng Qian
    • 2
  1. 1.Institute of Theoretical Computing 
  2. 2.Department of Computer ScienceEast China Normal UniversityShanghaiChina

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