Double Jacobian elliptic function expansion method under a general function transform and its applications

In this work, an extended Jacobian elliptic function expansion method is pro-posed for constructing the exact solutions of nonlinear evolution equations. The validity andÂ reliability of the method are tested by its applications to the Couple Boiti-Leon-PempinelliÂ System which plays an important role in mathematical physics.

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Extended Jacobian Elliptic Function Expansion Method and Its Applications in Biology

Applied Mathematics ◽

10.4236/am.2015.67107 ◽

2015 ◽

Vol 06 (07) ◽

pp. 1174-1181 ◽

Cited By ~ 1

Author(s):

Emad H. M. Zahran ◽

Mostafa M. A. Khater

Keyword(s):

Elliptic Function ◽

Expansion Method ◽

Jacobian Elliptic Function ◽

Function Expansion

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The extended Jacobian elliptic function expansion method and its application in Zakharov equation

2010 International Conference on Computer Application and System Modeling (ICCASM 2010) ◽

10.1109/iccasm.2010.5622367 ◽

2010 ◽

Author(s):

Yafeng Xiao ◽

Haili Xue

Keyword(s):

Elliptic Function ◽

Expansion Method ◽

Jacobian Elliptic Function ◽

Zakharov Equation ◽

Function Expansion

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Jacobi elliptic function expansion method under a general function transform and its applications

Acta Physica Sinica ◽

10.7498/aps.53.676 ◽

2004 ◽

Vol 53 (3) ◽

pp. 676

Author(s):

Liu Guan-Ting ◽

Fan Tian-You

Keyword(s):

Elliptic Function ◽

Expansion Method ◽

Jacobi Elliptic Function ◽

General Function ◽

Function Expansion ◽

Jacobi Elliptic Function Expansion

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The Extended Jacobian Elliptic Function Expansion Method and Its Applications in Weakly Nonlinear Wave Equations

Journal of Hydrodynamics ◽

10.1016/s1001-6058(06)60016-4 ◽

2006 ◽

Vol 18 (3) ◽

pp. 352-361

Author(s):

Wen-hua Huang ◽

Yu-lu Liu ◽

Zhi-ming Lu ◽

Bo-ying Pan ◽

Mao-sheng Liu

Keyword(s):

Nonlinear Wave ◽

Elliptic Function ◽

Wave Equations ◽

Expansion Method ◽

Nonlinear Wave Equations ◽

Jacobian Elliptic Function ◽

Weakly Nonlinear ◽

Function Expansion

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The extended Jacobian elliptic function expansion method and its application in the generalized Hirota–Satsuma coupled KdV system

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(02)00145-5 ◽

2003 ◽

Vol 15 (3) ◽

pp. 575-583 ◽

Cited By ~ 74

Author(s):

Zhenya Yan

Keyword(s):

Elliptic Function ◽

Expansion Method ◽

Jacobian Elliptic Function ◽

Function Expansion

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General Jacobian elliptic function expansion method and its applications

Chinese Physics ◽

10.1088/1009-1963/13/6/003 ◽

2004 ◽

Vol 13 (6) ◽

pp. 798-804 ◽

Cited By ~ 25

Author(s):

Zhu Jia-Min ◽

Ma Zheng-Yi ◽

Fang Jian-Ping ◽

Zheng Chun-Long ◽

Zhang Jie-Fang

Keyword(s):

Elliptic Function ◽

Expansion Method ◽

Jacobian Elliptic Function ◽

Function Expansion

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Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics

International Journal of Computer Applications ◽

10.5120/19237-0621 ◽

2015 ◽

Vol 109 (12) ◽

pp. 1-4 ◽

Cited By ~ 1

Author(s):

Maha S.M.Shehata

Keyword(s):

Elliptic Function ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Expansion Method ◽

Mathematical Physics ◽

Nonlinear Evolution Equations ◽

Jacobian Elliptic Function ◽

Function Expansion

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An improved Jacobian elliptic function expansion method to find new traveling wave solutions for a class of nonlinear wave equations

International Journal of Contemporary Mathematical Sciences ◽

10.12988/ijcms.2016.6737 ◽

2016 ◽

Vol 11 ◽

pp. 367-375

Author(s):

Xueqin Zhao

Keyword(s):

Nonlinear Wave ◽

Elliptic Function ◽

Traveling Wave ◽

Wave Equations ◽

Traveling Wave Solutions ◽

Expansion Method ◽

Nonlinear Wave Equations ◽

Jacobian Elliptic Function ◽

Wave Solutions ◽

Function Expansion

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Extended Jacobian Elliptic Function Expansion Method and Its Applications in Mathematical Physics

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v11i8.242 ◽

2016 ◽

pp. 3585-3592

Author(s):

Mostafa Khater

Keyword(s):

Exact Solutions ◽

Elliptic Function ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Expansion Method ◽

Mathematical Physics ◽

Nonlinear Evolution Equations ◽

Jacobian Elliptic Function ◽

Validity And Reliability ◽

Function Expansion

In this work, an extended Jacobian elliptic function expansion method is proposed forÂ constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the methodÂ are tested by its applications to some nonlinear evolution equations which play an important role inmathematical physics.

Download Full-text