[1]
P. A. Clarkson and M. D. Kruskal, J. Math. Phys. 30, 2201 (1989).CrossrefGoogle Scholar
[2]
P. A. Clarkson and E. L. Mansfield, SIAM J. Appl. Math. 54, 1693 (1994).Google Scholar
[3]
G. W. Bluman and J. D. Cole, Similarity Methods for Differential Equations, Springer-Verlag Press, Berlin 1974.Google Scholar
[4]
G. W. Bluman and S. Kumei, Symmetries and Differential Equation, Springer-Verlag Press, Berlin 1989.Google Scholar
[5]
P. J. Olver, Applications of Lie Groups to Differential Equations, Springer-Verlag Press, New York 1993.Google Scholar
[6]
S. Lie, Arch. Math. 6, 328 (1981).Google Scholar
[7]
L. V. Ovsiannikov, Group Analysis of Differential Equations, Academic Press, New York 1982.Google Scholar
[8]
P. J. Olver, Applications of Lie Groups to Differential Equations, Springer-Verlag Press, Berlin 1986.Google Scholar
[9]
N. H. Ibragimov, Transformation Groups Applied to Mathematical Physics, Boston Press, Reidel 1985.Google Scholar
[10]
Z. Z. Dong, F. Huang, and Y. Chen, Z. Naturforsch 66, 75 (2011).Google Scholar
[11]
G. W. Bluman and J. D. Cole, J. Math. Mech. 18, 1025 (1969).Google Scholar
[12]
F. Galas, J. Phys. A: Math. Gen. 25, L981 (1992).CrossrefGoogle Scholar
[13]
S. Y. Lou, J. Phys. A: Math. Phys. 30, 4803 (1997).CrossrefGoogle Scholar
[14]
S. Y. Lou and X. B. Hu, J. Phys. A: Math. Gen. 30, L95 (1997).CrossrefGoogle Scholar
[15]
Z. Y. Ma, J. X. Fei, and Y. M. Chen, Appl. Math. Lett. 37, 54 (2014).CrossrefGoogle Scholar
[16]
X. N. Gao, S. Y. Lou, and X. Y. Tang, J. High Energy Phys. 5, 029 (2013).Google Scholar
[17]
S. Y. Lou, X. R. Hu, and Y. Chen, J. Phys. A 45, 155209 (2012).Google Scholar
[18]
S. Y. Lou, arXiv: 1308.1140 (2013).Web of ScienceGoogle Scholar
[19]
Y. Jin, M. Jia, and S. Y. Lou, Commun. Theor. Phys. 58, 795 (2012).CrossrefGoogle Scholar
[20]
X. Z. Liu, J. Yu, B. Ren, and J. R. Yang, Chin. Phys. B 24, 010203 (2015).Google Scholar
[21]
X. Z. Liu, J. Yu, and B. Ren, Chin. Phys. B 24, 30202 (2015).Google Scholar
[22]
X. P. Xin, Q. Miao, and Y. Chen, Chin. Phys. B 23, 010203 (2014).Google Scholar
[23]
Q. Miao, X. P. Xin, and Y. Chen, Appl. Math. Lett. 28, 7 (2014).CrossrefGoogle Scholar
[24]
X. P. Xin, J. C. Chen, and Y. Chen, Chin. Ann. Math. 3B, 1 (2014).Google Scholar
[25]
G. W. Bluman, A. F. Cheviakov, and S. C. Anco, Applications of Symmetry Methods to Partial Differential Equations, Springer Press, New York 2010.Google Scholar
[26]
B. Ren, Z. M. Lou, Z. F. Liang, and X. Y. Tang, Eur. Phys. J. Plus 131, 441 (2016).Google Scholar
[27]
S. Y. Lou and X. B. Hu, Chin. Phys. Lett. 10, 577 (1993).Google Scholar
[28]
D. J. Benney, Stud. Appl. Math. L11, 45 (1973).CrossrefGoogle Scholar
[29]
N. H. Ibragimov, V. F. Kovalev, and V. V. Pustovalov, Nonlinear Dynam. 28, 135 (2002).CrossrefGoogle Scholar
[30]
D. S. Wang and Y. B. Yin, Comput. Math. Appl. 71, 748 (2016).CrossrefGoogle Scholar
[31]
V. E. Zakharov, Singular Limits of Dispersive Waves, Plenum Press, New York 1994.Google Scholar
[32]
F. Guil, M. Manas, and L. M. Alonso, J. Phys. A: Math. Gen. 36, 4047 (2003).CrossrefGoogle Scholar
Comments (0)