J4 ›› 2014, Vol. 31 ›› Issue (5): 533-540.

• Quantum Physics • Previous Articles     Next Articles

Symmetries, reductions and exact solutions of (2+1) dimensional Potential Boiti-Leon-Manna-Pempinelli equation

Liu Yong,Liu Xi-Qiang,Wang Zhen-Li   

  1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China
  • Received:2013-11-13 Revised:2014-09-05 Published:2014-09-28 Online:2014-09-17

Abstract: Using the classical Lie group method, the symmetries and the reductions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli (PBLMP for short) equation are obtained. At the same time, a great many of solutions are derived by solving the reduction equations, including the rational functions, hyperbolic functions, the trigonometric functions solution and Jacobi elliptic function solution.

Key words: the classical Lie group method, the PBLMP equation, symmetry reduction, exact solutions