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Abstract
A modified double Jacobian elliptic function expansion method under a general function transform, which is more general than the Jacobian elliptic function expansion method under a travelling wave transform, is proposed to construct the exact solutions of nonlinear evolution equations. Some new exact periodic solutions are obtained by this method which include previous solutions, replenishing the known results of the equations.

Keywords:
Jacobian elliptic function expansion method/

nonlinear evolution equation/

function transform/

periodic solution
Authors and contacts
Wu Guo-Jiang,

Han Jia-Hua,

Shi Liang-Ma,

Zhang Miao

1.
References

Cited By

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[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.Riemann theta function and other several kinds of new solutions of nonlinear evolution equations. Acta Physica Sinica, 2013, 62(10): 100201.doi:10.7498/aps.62.100201
[4]	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
[5]	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
[6]	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
[7]	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
[8]	Wu Guo-Jiang, Zhang Miao, Shi Liang-Ma, Zhang Wen-Liang, Han Jia-Hua.The extended expansion method for Jacobi elliptic function and new exact periodic solutions of Zakharov equations. Acta Physica Sinica, 2007, 56(9): 5054-5059.doi:10.7498/aps.56.5054
[9]	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
[10]	Taogetusang, Sirendaoerji.New exact solitary wave solutions for nonlinear wave equation with fifth-order strong nonlinear term constructed by hyperbolic function type of auxiliary equation. Acta Physica Sinica, 2006, 55(1): 13-18.doi:10.7498/aps.55.13
[11]	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
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[13]	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
[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]	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
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[20]	LIU SHI-KUO, FU ZUN-TAO, LIU SHI-DA, ZHAO QIANG.EXPANSION METHOD ABOUT THE JACOBI ELLIPTIC FUNCTION ANDITS APPLICATIONS TO NONLINEAR WAVE EQUATIONS. Acta Physica Sinica, 2001, 50(11): 2068-2073.doi:10.7498/aps.50.2068

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Vol. 55, Issue 8 - 2006-04-20

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