J4 ›› 2009, Vol. 26 ›› Issue (5): 531-536.

• Quantum Physics • Previous Articles     Next Articles

Symmetries, reductions, group invariant solutions of (2+ 1) -dimensional Gardner equation

XU Bin, LIU Xi-Qiang   

  1. School of Mathematical Science,Liao cheng University,Liaocheng,252059, China
  • Published:2009-09-28 Online:2009-08-27

Abstract:

By using the classical Lie group method explicit solutions to the (2+ 1) dimensional Gardner equation are obtained, which generalizes some correspond results are obtained by Tang and Chen Yong, and symmetries,symmetry reductions and group invariant solutions to the equation are presented.

Key words: Lie group method, Gardner equation, symmetries, group invariant solutions