Jacobi-like elliptic function exact solutions of (3+1)-dimensional Zakharov-Kuznetsov equation with variable coefficients

Taogetusang; Sirendaoerji

[1] Wang Mingliang. Solitary wave solutions for variant Boussinesq equations [J]. Phys. Lett., 1995, A199: 169-172.

[2] Sirendaoreji, Sun Jiong. Auxiliary equation method for solving nonlinear partial differential equations [J]. Phys. Lett., 2003, A309: 387-396.

[3] Fu Zuntao, Liu Shida, Liu Shikuo. Solving nonlinear wave equations by elliptic equation [J]. Commun. Theor. Phys., 2003, 39(5): 531-536.

[4] Zhao Xueqin, Zhi Hongyan, Zhang Hongqing. Construction of doubly-periodic solutions to nonlinear partial differential equations using improved Jacobi elliptic function expansion method and symbolic computation [J]. Chin. Phys., 2006, 15(10): 2202-2209.

[5] Zhang Jinliang, Ren Dongfeng, Wang Mingliang, et al. The periodic wave solutions for the generalized Nizhnik-Novikov-Veselov equation [J]. Chin. Phys., 2003, 12(8): 825-830.

[7] Zhang Liang, Zhang Lifeng, Li Chongyin. Some new exact solutions of Jacobian elliptic function about the generalized Boussinesq equation and Boussinesq-Burgers equation [J]. Chin. Phys. B, 2008, 17(2): 403-410.

[8] Sirendaoerji, Sun jiong. Auxiliary equation method and its applications to nonlinear evolution equations [J]. J. Modern. Phys. C, 2003, 14(8): 1075-1085.

[9] Chen Yong, Li Biao. New exact travelling wave solutions for generalized Zakharov-Kuzentsov equations using general projentive Riccati equation method [J]. Commun. Theor. Phys., 2004, 41(1): 1-6.

[10] Zhu Jiamin, Zheng Chunlong, Ma Zhengyi. A general mapping approach and new travelling wave solutions to the general variable coefficient KdV equation [J]. Chin. Phys., 2004, 13(12): 2008-2012.

[11] Li Huamei. Exact periodic wave and soliton solutions in two-component Bose-Einstein condensates [J]. Chin. Phys., 2007, 16(11): 3187-3191.

[21] Shivamoggi B K, Rollins D K. Generalized painleve formulation of Lie group symmetries of the ZK equation [J]. Phys. Lett. A, 1991, 160: 263-266.

[22] Hamza A M. Akinetic derivation of a generalized ZK equation for ion acoustic turbulence in magnetized plasma [J]. Phys. Lett. A, 1994, 190: 309-316.

[24] Yan Zhilian, Liu Xiqiang. Symmetry and similarity solutions of variable coefficients generalized Zakharov-Kuzentsov equation [J]. Appl. Math. Comput., 2006, 180: 288-294.