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[1] Olver P J 1993 Applications of Lie Groups to Differential Equations (New York: Springer) p75
[2] Saied E A 1994 J. Phys. A: Math. Gen. 27 4867
[3] King J R 1990 J. Phys. A: Math. Gen. 23 3681
[4] Sophocleous C 1998 J. Phys. A: Math. Gen. 31 6293
[5] Gandarias M L, Bruzón M S 2008 Commun. Nonlinear Sci. Numer. Simul. 13 508
[6] Qu C Z 1999 IMA J. Appl. Math. 62 283
[7] Qu C Z, Estévez P G 2004 Nonlinear Anal. TMA 37 549
[8] Qu C Z, Ji L N 2009 Nonlinear Analysis 71 243
[9] Lou S Y 1996 J. Phys. A: Math. Gen. 29 4209
[10] Lou S Y 2000 Phys. Lett. A 277 94
[11] Ji F Y, Zhang S L 2012 Acta Phys. Sin. 61 080202 (in Chinese) [吉飞宇, 张顺利 2012 物理学报 61 080202]
[12] Galaktionov V A 1995 Proc. Roy. Soc. Edinburgh 125 225
[13] Galaktionov V A, Posashkov S A 1996 Physica D 99 217
[14] Goard J M 2000 Eur. J. Appl. Math. 11 215
[15] Ivanova N M 2008 Dynamics of PDE 5 139
[16] Ivanova N M, Popovych R O, Sophocleous C 2010 Lobachevskii Journal of mathematics 31 100
[17] Crank J 1979 Mathematics of Diffusion (2nd ed.) (London: Oxford)
[18] Peletier L A 1981 Applications of Nonlinear Analysis in the Physical Sciences (London: Pitman)
[19] Sophocleous C 2003 Physica A 320 169
[20] Tao G T S, Si R D E J 2009 Acta Phys. Sin. 58 2121 (in Chinese) [套格图桑, 斯仁道尔吉 2009 物理学报 58 2121]
[21] Ma Y L, Li B Q 2009 Acta Phys. Sin. 58 2121 (in Chinese) [马玉兰, 李帮庆 2009 物理学报 58 4373]
[22] Zhang S L, Qu C Z 2006 Chin. Phys. Lett. 23 527
[23] Zhang H Q, Fan E G, Lin G 1998 Chin. Phys. 7 649
[24] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 物理学报 58 2930]
[25] Fokas A S, Liu Q M 1994 Phys. Rev. Lett. 72 3293
[26] Zhdanov R Z 1995 J. Phys. A: Math. Gen. 128 3841
[27] Qu C Z 1997 Stud. Appl. Math. 99 107
[28] Ji L N 2012 J. Math. Anal. Appl. 389 979
-
[1] Olver P J 1993 Applications of Lie Groups to Differential Equations (New York: Springer) p75
[2] Saied E A 1994 J. Phys. A: Math. Gen. 27 4867
[3] King J R 1990 J. Phys. A: Math. Gen. 23 3681
[4] Sophocleous C 1998 J. Phys. A: Math. Gen. 31 6293
[5] Gandarias M L, Bruzón M S 2008 Commun. Nonlinear Sci. Numer. Simul. 13 508
[6] Qu C Z 1999 IMA J. Appl. Math. 62 283
[7] Qu C Z, Estévez P G 2004 Nonlinear Anal. TMA 37 549
[8] Qu C Z, Ji L N 2009 Nonlinear Analysis 71 243
[9] Lou S Y 1996 J. Phys. A: Math. Gen. 29 4209
[10] Lou S Y 2000 Phys. Lett. A 277 94
[11] Ji F Y, Zhang S L 2012 Acta Phys. Sin. 61 080202 (in Chinese) [吉飞宇, 张顺利 2012 物理学报 61 080202]
[12] Galaktionov V A 1995 Proc. Roy. Soc. Edinburgh 125 225
[13] Galaktionov V A, Posashkov S A 1996 Physica D 99 217
[14] Goard J M 2000 Eur. J. Appl. Math. 11 215
[15] Ivanova N M 2008 Dynamics of PDE 5 139
[16] Ivanova N M, Popovych R O, Sophocleous C 2010 Lobachevskii Journal of mathematics 31 100
[17] Crank J 1979 Mathematics of Diffusion (2nd ed.) (London: Oxford)
[18] Peletier L A 1981 Applications of Nonlinear Analysis in the Physical Sciences (London: Pitman)
[19] Sophocleous C 2003 Physica A 320 169
[20] Tao G T S, Si R D E J 2009 Acta Phys. Sin. 58 2121 (in Chinese) [套格图桑, 斯仁道尔吉 2009 物理学报 58 2121]
[21] Ma Y L, Li B Q 2009 Acta Phys. Sin. 58 2121 (in Chinese) [马玉兰, 李帮庆 2009 物理学报 58 4373]
[22] Zhang S L, Qu C Z 2006 Chin. Phys. Lett. 23 527
[23] Zhang H Q, Fan E G, Lin G 1998 Chin. Phys. 7 649
[24] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 物理学报 58 2930]
[25] Fokas A S, Liu Q M 1994 Phys. Rev. Lett. 72 3293
[26] Zhdanov R Z 1995 J. Phys. A: Math. Gen. 128 3841
[27] Qu C Z 1997 Stud. Appl. Math. 99 107
[28] Ji L N 2012 J. Math. Anal. Appl. 389 979
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