Nonlocal Lie-Backlund symmetries of the coupled KdV system

作者：Qian Suping^*; Tian Lixin

来源：Physics Letters A, 2007, 364(3-4): 235-238.

DOI：10.1016/j.physleta.2006.12.008

• coupled KdV equations
• Lie-Backlund symmetry
• two layer fluid model
• soliton solution

In this Letter. after introducing some potentials for a coupled KdV equation which is derived from the two layer fluid model, the nonlocal Lie-Backlund transformation is obtained. Using the Lie-Backlund transformation theorem to the trivial zero solution, the single soliton solution is also found.

• 出版日期2007-4-30
• 单位常熟理工学院; 江苏大学