J4 ›› 2012, Vol. 29 ›› Issue (4): 411-416.

• Quantum Physics • Previous Articles     Next Articles

Symmetry reductions and explicit solutions of the (2+1)-dimensional nonlinear evolution equation

Zhang Ying-yuan, Liu Xi-qiang, Wang Gang-wei   

  1. School of Mathematical Science, Liaocheng University, Liaocheng 252059, China
  • Received:2011-06-21 Revised:2012-03-05 Published:2012-07-28 Online:2012-07-01

Abstract:

Using the compatibility method, we obtain the symmetry of the nonlinear evolution equation. By solving the corresponding characteristic equations associated with symmetry equations, symmetry reductions of the (2+1)-dimensional nonlinear evolution equation are given first, then some special type of new explicit solutions are presented.

Key words: (2+1)-dimensional nonlinear evolution equation, symmetry reduction, explicit solutions

CLC Number: