摘要Employing the modified Clarkson–Kruskal direct method, we realize the symmetries of the nonlinear (2+1)-dimensional modified Kadomtzev–Patvishvili-II equation. Applying the given Lie symmetry, we obtain the similarity reduction and new exact solutions. We also obtain conservation laws of the equations with the corresponding Lie symmetry.
Abstract：Employing the modified Clarkson–Kruskal direct method, we realize the symmetries of the nonlinear (2+1)-dimensional modified Kadomtzev–Patvishvili-II equation. Applying the given Lie symmetry, we obtain the similarity reduction and new exact solutions. We also obtain conservation laws of the equations with the corresponding Lie symmetry.
[1] Meltem L Y, Lee J H and Pashaev O K 2007 Math. Comput. Slmulat. 74 323
[2] Halim A A 2008 Chaos. Solitons and Fractals 36 646
[3] Xin X P, Liu X Q and Zhang L L 2010 Appl. Math. Comput. 215 3669
[4] Yan Z L and Liu X Q 2006 Appl. Math. Comput. 180 288
[5] Wang M L, Li X Z and Zhang J L 2008 Phys. Lett. A 372 417
[6] Zhang L L and Liu X Q 2009 Commun. Theor. Phys. 52 784
[7] Zhang L H and Liu X Q 2006 Commun. Theor. Phys. 45 487
[8] Chen Y and Dong Z Z 2009 Nonlinear Analysis 71 810
[9] Liu N, Liu X Q and Lü H L 2009 Phys. Lett. A 373 214
[10] Nail H and Ibragimov J 2007 Math. Anal. Appl. 333 311
2011, Vol. 28 
