Chinese Journal of Quantum Electronics, Volume. 33, Issue 6, 671(2016)

Application of Bell polynomials in variable-coefficient Gardner-KP equation

Xiaoge XU1...2,*, Xiaoyuan ZHANG2 and Xianghua MENG2 |Show fewer author(s)
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
  • show less
    References(12)

    [3] [3] Wazwaz A M. Soliton and singular solitons for the Gardner-KP equation [J]. Applied Mathematics and Computation, 2008, 204: 162-169.

    [5] [5] Xu Bin, Liu Xiqiang. Classification, reduction, group invariant solutions and conservation laws of the Gardner-KP equation [J]. Applied Mathematics and Computation, 2009, 215: 1244-1250.

    [7] [7] Shakeel Muhammad, Mohyud-Din S T. Soliton solutions for the positive Gardner-KP equation by (G′/G,1/G)-expansion method [J]. Ain Shams Engineering Journal, 2014, 5: 951-958.

    [8] [8] Bell E T. Exponential polynomials [J]. Ann. Math., 1934, 35: 258-277.

    [9] [9] Gilson C, Lamnert F, Nimmo K, et al. On the combinatorics of the Hirota D-operators [J]. Proc. R. Soc. Lond. A, 199(452): 223-234.

    [10] [10] Lambert F, Seble S, Springal J. Binary Bell polynomials and Darboux covariant Lax pairs [J]. Glasgow Math. J., 2001(43A): 53-63.

    [11] [11] Hon Y C, et al. Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equation [J]. Journal of Applied Mathematics, 2012, 77: 236-251.

    [12] [12] Tian Shoufu, Zhang Hongqing. On the integrability of a generalized variabe-coefficient Kadomtsev-Petviashvili equation [J]. Journal of Physics A, 2012, 45(5): 055203.

    [13] [13] Shen Yujia, Gao Yitian, Yu Xin, et al. Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation [J]. Applied Mathematics and Computation, 2014, 227: 502-508.

    [14] [14] Zhang Tiantian, Ma Panli, Xu Meijuan, et al. On Bell polynomials approach to the integrability of a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation [J]. Modern Physics Letters B, 2015, 29(12): 1550051.

    [15] [15] Wang Yufeng, Tian Bo, Wang Pan, et al. Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation [J]. Nonlinear Dynamics, 2012, 69: 2031-2040.

    [17] [17] Xu Guiqiong. Integrability of a (2+1)-dimensional generalized breaking soliton equation [J]. Applied Mathematics Letters, 2015, 50: 16-22.

    Tools

    Get Citation

    Copy Citation Text

    XU Xiaoge, ZHANG Xiaoyuan, MENG Xianghua. Application of Bell polynomials in variable-coefficient Gardner-KP equation[J]. Chinese Journal of Quantum Electronics, 2016, 33(6): 671

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category:

    Received: Oct. 9, 2015

    Accepted: --

    Published Online: Jan. 3, 2017

    The Author Email: Xiaoge XU (xxg@bistu.edu.cn)

    DOI:10.3969/j.issn.1007-5461. 2016.06.005

    Topics