Symmetry, reduction and group invariant solution of (2+1)-dimensional Gardner equation

Bin XU; Xi-qiang LIU

[2] Liu Xiqiang. New explicit solutions of the (2+1)-dimensional Broer-Kaup equations [J]. J. Partial Diff. Eqs., 2004, 17: 1-9.

[4] Fan Engui, Zhang Jian. Applications of the Jacobi elliptic function method to special-type nonlinear eqations [J]. Phys. Lett. A, 2002, 305: 383-392.

[6] Liu Xiqiang, Jiang Song. The sechq-tanq-method and its application [J]. Phys. Lett. A, 2002, 298: 253-258.

[8] Yan Zhilian, Liu Xiqiang. Symmetry reduction and explicit solutions for a generalized Zakharov-Kuznetsov equation [J]. Commun. Theor. Phys., 2006, 45: 29-32.

[9] Tang Yaning, Xu Wei, Shen Jianwei. Solitary wave solution to Gardner equation [J]. Chinese Journal of Engineering Mathematics, 2007, 24(1): 119-127.

[10] Fu Zuntao, Liu Shida, Liu Shikuo. New kinds of solutions to Gardner equation [J]. Chaos, Solitons and Fractals, 2004, 20: 301-309.

[11] Abdul-Majid Wazwaz. New solitons and kink solutions for the Gardner equation [J]. Communications in Nonlinear Science and Numerical Simulation, 2007, 12: 1395-1404.

[12] Chen Yong, Yan Zhenya. New exact solutions of (2+1)-dimensional Gardner equation via the new sine-Gordon equation expansion method [J]. Chaos, Solitons and Fractals, 2005, 26: 399-406.