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Abstract
Nonlinear evolution equations are classified by introducing a concept of “rank”. A new application of the Jacobi elliptic function expansion method is given， and some exact periodic solutions of a new kind of nonlinear evolution equations are obtained.

Keywords:
nonlinear evolution equation/

periodic solution/

solitary wave solution/

Jacobi elliptic function
Authors and contacts
Zhang Shan-Qing,

Li Zhi-Bin

1.
References

Cited By

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[2]	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
[3]	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
[4]	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
[5]	Gao Bin, Liu Shi-Da, Liu Shi-Kuo.Envelope periodic and solitary solutions of Davey-Stewartson equation. Acta Physica Sinica, 2009, 58(4): 2155-2158.doi:10.7498/aps.58.2155
[6]	Wu Hai-Yan, Zhang Liang, Tan Yan-Ke, Zhou Xiao-Tao.Some new exact Jacobian elliptic function solutions of three kinds of nonlinear evolution equations. Acta Physica Sinica, 2008, 57(6): 3312-3318.doi:10.7498/aps.57.3312
[7]	Pan Jun-Ting, Gong Lun-Xun.Jacobi elliptic function solutions to the coupled KdV-mKdV equation. Acta Physica Sinica, 2007, 56(10): 5585-5590.doi:10.7498/aps.56.5585
[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]	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
[11]	Gong Lun-Xun.Some new exact solutions of the Jacobi elliptic functions of NLS equation. Acta Physica Sinica, 2006, 55(9): 4414-4419.doi:10.7498/aps.55.4414
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[13]	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
[14]	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
[15]	Fu Zun-Tao, Liu Shi-Kuo, Liu Shi-Da.A new method to construct solutions to nonlinear wave equations. Acta Physica Sinica, 2004, 53(2): 343-348.doi:10.7498/aps.53.343
[16]	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
[17]	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
[18]	Liu Shi-Kuo, Chen Hua, Fu Zun-Tao, Liu Shi-Da.LamDe＇ function and invariants of multi-order exact solutions among nonline ar evolution equations. Acta Physica Sinica, 2003, 52(8): 1842-1847.doi:10.7498/aps.52.1842
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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. 52, Issue 5 - 2003-03-05

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