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In this paper, in order to obtain new solutions to nonlinear evolution equations, the auxiliary equation method and (G'/G)-expansion method are studied and extended. By using the method, many new exact solutions of the nonlinear (2+1)-dimensional Nizhnik-Novikov-Vesselov equations with variable coefficients are obtained. The interaction new solutions include Jacobi elliptic function, hyperbolic function, triangular function and rational function.
[1] Lu D Z 2005 Acta Phys. Sin. 54 4501 (in Chinese) [吕大昭 2005 54 4501]
[2] Wu J P 2011 Chin. Phys. Lett. 28 060207
[3] Zuo J M, Zhang Y M 2011 Chin. Phys. B 20 010205
[4] Lu D Z, Cui Y Y, Liu C H, Zhang Y 2010 Acta Phys. Sin. 59 6793 (in Chinese) [吕大昭, 崔艳英, 刘长河, 张艳 2010 59 6793]
[5] Liang L W, Li X D, Li Y X 2009 Acta Phys. Sin. 58 2159 (in Chinese) [梁立为, 李兴东, 李玉霞 2009 58 2159]
[6] Chen H T, Zhang H Q 2003 Chaos, Solitons and Fractals 15 585
[7] Chen H T, Zhang H Q 2004 Chaos, Solitons and Fractals 20 765
[8] Houria Trikia, Abdul-Majid Wazwazb 2009 Appl. Mathe. Comput 214 370
[9] Chen H T, Yin H C 2007 Journal of Mathematical Physics 48 013504
[10] Ye C E, Zhang W G 2010 Acta Phys. Sin. 59 5929 (in Chinese) [叶彩儿, 张卫国 2010 59 5929]
[11] Wang J 2010 Acta Phys. Sin. 59 2924 (in Chinese) [王静 2010 59 2924]
[12] Li B Q, Ma Y L, Xu M P 2010 Acta Phys. Sin. 59 1409 (in Chinese) [李帮庆, 马玉兰, 徐美萍 2010 59 1409]
[13] Wang M L, Li X Z, Zhang J L 2008 Physics Letters A 372 417
[14] Zayed E M E 2009 Appl. Math. Comput. 89 103
[15] Zayed E M E 2009 J. Appl. Math. Comput. 30 89
[16] Zhang S, Xia T C 2011 Appl. Math. Comput. 218 1308
[17] Gepreel1 K A, Shehata A R 2012 Scientific Research and Essays. 7 149
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[1] Lu D Z 2005 Acta Phys. Sin. 54 4501 (in Chinese) [吕大昭 2005 54 4501]
[2] Wu J P 2011 Chin. Phys. Lett. 28 060207
[3] Zuo J M, Zhang Y M 2011 Chin. Phys. B 20 010205
[4] Lu D Z, Cui Y Y, Liu C H, Zhang Y 2010 Acta Phys. Sin. 59 6793 (in Chinese) [吕大昭, 崔艳英, 刘长河, 张艳 2010 59 6793]
[5] Liang L W, Li X D, Li Y X 2009 Acta Phys. Sin. 58 2159 (in Chinese) [梁立为, 李兴东, 李玉霞 2009 58 2159]
[6] Chen H T, Zhang H Q 2003 Chaos, Solitons and Fractals 15 585
[7] Chen H T, Zhang H Q 2004 Chaos, Solitons and Fractals 20 765
[8] Houria Trikia, Abdul-Majid Wazwazb 2009 Appl. Mathe. Comput 214 370
[9] Chen H T, Yin H C 2007 Journal of Mathematical Physics 48 013504
[10] Ye C E, Zhang W G 2010 Acta Phys. Sin. 59 5929 (in Chinese) [叶彩儿, 张卫国 2010 59 5929]
[11] Wang J 2010 Acta Phys. Sin. 59 2924 (in Chinese) [王静 2010 59 2924]
[12] Li B Q, Ma Y L, Xu M P 2010 Acta Phys. Sin. 59 1409 (in Chinese) [李帮庆, 马玉兰, 徐美萍 2010 59 1409]
[13] Wang M L, Li X Z, Zhang J L 2008 Physics Letters A 372 417
[14] Zayed E M E 2009 Appl. Math. Comput. 89 103
[15] Zayed E M E 2009 J. Appl. Math. Comput. 30 89
[16] Zhang S, Xia T C 2011 Appl. Math. Comput. 218 1308
[17] Gepreel1 K A, Shehata A R 2012 Scientific Research and Essays. 7 149
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