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Abstract
We generalized the Jacobi elliptic function expansion method and obtained some new exact periodic solutions of Zakharov equations, thus replenished the known results of the equation using this method.

Keywords:
Jacobian elliptic function expansion method/

nonlinear evolution equation/

exact solution/

periodic solution
Authors and contacts
Wu Guo-Jiang,

Zhang Miao,

Shi Liang-Ma,

Zhang Wen-Liang,

Han Jia-Hua

1.
References

Cited By

[1]	Yin Jun-Yi.Extended expansion method for (G/G) and new exact solutions of Zakharov equations. Acta Physica Sinica, 2013, 62(20): 200202.doi:10.7498/aps.62.200202
[2]	Cheng Jian-Jun, Zhang Hong-Qing.Wronskian solution of general nonlinear evolution equations and Young diagram prove. Acta Physica Sinica, 2013, 62(20): 200504.doi:10.7498/aps.62.200504
[3]	Taogetusang, Bai Yu-Mei.A method of constructing infinite sequence soliton-like solutions of nonlinear evolution equations. Acta Physica Sinica, 2012, 61(13): 130202.doi:10.7498/aps.61.130202
[4]	Taogetusang.A method for constructing infinite sequence complexiton solutions to nonlinear evolution equations. Acta Physica Sinica, 2011, 60(1): 010202.doi:10.7498/aps.60.010202
[5]	Taogetusang.Several auxiliary equations and infinite sequence exactsolutions to nonlinear evolution equations. Acta Physica Sinica, 2011, 60(5): 050201.doi:10.7498/aps.60.050201
[6]	Taogetusang, Sirendaoerji.A method for constructing exact solutions of nonlinear evolution equation with variable coefficients. Acta Physica Sinica, 2009, 58(4): 2121-2126.doi:10.7498/aps.58.2121
[7]	Wu Yong-Qi.A new periodic wave solution for the (2+1)-dimensional Boussinesq equation. Acta Physica Sinica, 2008, 57(9): 5390-5394.doi:10.7498/aps.57.5390
[8]	Taogetusang, Sirendaoerji.The method for constructing the exact solutions to the nonlinear evolution equation. Acta Physica Sinica, 2006, 55(12): 6214-6221.doi:10.7498/aps.55.6214
[9]	Wu Guo-Jiang, Han Jia-Hua, Shi Liang-Ma, Zhang Miao.Double Jacobian elliptic function expansion method under a general function transform and its applications. Acta Physica Sinica, 2006, 55(8): 3858-3863.doi:10.7498/aps.55.3858
[10]	Liu Cheng-Shi.Trial equation method and its applications to nonlinear evolution equations. Acta Physica Sinica, 2005, 54(6): 2505-2509.doi:10.7498/aps.54.2505
[11]	Han Zhao-Xiu.New exact solutions for nonlinear Klein-Gordon equations. Acta Physica Sinica, 2005, 54(4): 1481-1484.doi:10.7498/aps.54.1481
[12]	Lü Da-Zhao.Abundant Jacobi elliptic function solutions of nonlinear evolution equations. Acta Physica Sinica, 2005, 54(10): 4501-4505.doi:10.7498/aps.54.4501
[13]	Huang Ding-Jiang, Zhang Hong-Qing.Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations. Acta Physica Sinica, 2004, 53(8): 2434-2438.doi:10.7498/aps.53.2434
[14]	Liu Guan-Ting, Fan Tian-You.Jacobi elliptic function expansion method under a general function transform and its applications. Acta Physica Sinica, 2004, 53(3): 676-679.doi:10.7498/aps.53.676
[15]	Shen Shou-Feng, Pan Zu-Liang, Zhang Jun, Ye Cai-Er.The envelope solutions to the coupled nonlinear Schr?dinger equation of Manakov type─with Jacobi elliptic functions. Acta Physica Sinica, 2004, 53(7): 2056-2059.doi:10.7498/aps.53.2056
[16]	Shi Yu-Ren, Guo Peng, Lü Ke-Pu, Duan Wen-Shan.Expansion method for modified Jacobi elliptic function and its application. Acta Physica Sinica, 2004, 53(10): 3265-3269.doi:10.7498/aps.53.3265
[17]	Shi Yu-ren, Lü Ke-Pu, Duan Wen-Shan, Hong Xue-Ren, Zhao Jin-Bao, Yang Hong-Juan.Explicit and exact solutions of the combined KdV equation. Acta Physica Sinica, 2003, 52(2): 267-270.doi:10.7498/aps.52.267
[18]	Zhang Shan-Qing, Li Zhi-Bin.A new application of Jacobi elliptic function expansion method. Acta Physica Sinica, 2003, 52(5): 1066-1070.doi:10.7498/aps.52.1066
[19]	Liu Shi-Kuo, Fu Zun-Tao, Liu Shi-Da, Zhao Qiang.. Acta Physica Sinica, 2002, 51(1): 10-14.doi:10.7498/aps.51.10
[20]	Xu Gui-Qiong, Li Zhi-Bin.. Acta Physica Sinica, 2002, 51(5): 946-950.doi:10.7498/aps.51.946

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Vol. 56, Issue 9 - 2007-05-05

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