Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi’s elliptic function method

A.H. Bhrawy; M.A. Abdelkawy; Anjan Biswas

doi:10.1016/j.cnsns.2012.08.034

Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi’s elliptic function method

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2012.08.034 ◽

2013 ◽

Vol 18 (4) ◽

pp. 915-925 ◽

Cited By ~ 79

Author(s):

A.H. Bhrawy ◽

M.A. Abdelkawy ◽

Anjan Biswas

Keyword(s):

Nonlinear Wave ◽

Elliptic Function ◽

Function Method ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Wave Solutions

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Exact Travelling Wave Solutions of Nonlinear Wave equations Using Tanh-function Method

Proceedings of the First International Conference on Information Sciences, Machinery, Materials and Energy ◽

10.2991/icismme-15.2015.284 ◽

2015 ◽

Author(s):

Weishi Yin ◽

Yixian Gao

Keyword(s):

Nonlinear Wave ◽

Function Method ◽

Wave Equations ◽

Travelling Wave ◽

Nonlinear Wave Equations ◽

Travelling Wave Solutions ◽

Wave Solutions

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Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

Physics Letters A ◽

10.1016/s0375-9601(01)00580-1 ◽

2001 ◽

Vol 289 (1-2) ◽

pp. 69-74 ◽

Cited By ~ 824

Author(s):

Shikuo Liu ◽

Zuntao Fu ◽

Shida Liu ◽

Qiang Zhao

Keyword(s):

Nonlinear Wave ◽

Elliptic Function ◽

Wave Equations ◽

Expansion Method ◽

Periodic Wave ◽

Nonlinear Wave Equations ◽

Jacobi Elliptic Function ◽

Periodic Wave Solutions ◽

Wave Solutions ◽

Jacobi Elliptic 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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Periodic travelling wave solutions of nonlinear wave equations

Nonlinear Analysis ◽

10.1016/s0362-546x(98)00021-2 ◽

1999 ◽

Vol 35 (7) ◽

pp. 917-923

Author(s):

Shi Yuming ◽

Li Ta-tsien ◽

Qin Tiehu

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Travelling Wave ◽

Nonlinear Wave Equations ◽

Travelling Wave Solutions ◽

Wave Solutions ◽

Periodic Travelling Wave

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EXPANSION METHOD ABOUT THE JACOBI ELLIPTIC FUNCTION ANDITS APPLICATIONS TO NONLINEAR WAVE EQUATIONS

Acta Physica Sinica ◽

10.7498/aps.50.2068 ◽

2001 ◽

Vol 50 (11) ◽

pp. 2068

Author(s):

LIU SHI-KUO ◽

FU ZUN-TAO ◽

LIU SHI-DA ◽

ZHAO QIANG

Keyword(s):

Nonlinear Wave ◽

Elliptic Function ◽

Wave Equations ◽

Expansion Method ◽

Nonlinear Wave Equations ◽

Jacobi Elliptic Function

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The extended tanh method for abundant solitary wave solutions of nonlinear wave equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.09.013 ◽

2007 ◽

Vol 187 (2) ◽

pp. 1131-1142 ◽

Cited By ~ 80

Author(s):

Abdul-Majid Wazwaz

Keyword(s):

Solitary Wave ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Solitary Wave Solutions ◽

Extended Tanh Method ◽

Wave Solutions ◽

Tanh Method

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Solitary and periodic wave solutions of nonlinear wave equations via the functional variable method

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2014.962839 ◽

2018 ◽

Vol 21 (1) ◽

pp. 43-57 ◽

Cited By ~ 1

Author(s):

Kamruzzaman Khan ◽

M. Ali Akbar

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Periodic Wave ◽

Variable Method ◽

Nonlinear Wave Equations ◽

Periodic Wave Solutions ◽

Wave Solutions ◽

Functional Variable ◽

Functional Variable Method

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Exact Explicit Peakon and Periodic Cusp Wave Solutions for Several Nonlinear Wave Equations

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-008-9114-5 ◽

2008 ◽

Vol 20 (4) ◽

pp. 909-922 ◽

Cited By ~ 8

Author(s):

Jibin Li

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Wave Solutions

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The new tri-function method to multiple exact solutions of nonlinear wave equations

Physica Scripta ◽

10.1088/0031-8949/78/03/035001 ◽

2008 ◽

Vol 78 (3) ◽

pp. 035001 ◽

Cited By ~ 26

Author(s):

Zhenya Yan

Keyword(s):

Exact Solutions ◽

Nonlinear Wave ◽

Function Method ◽

Wave Equations ◽

Nonlinear Wave Equations

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Jacobi elliptic function solutions of nonlinear wave equations via the new sinh-Gordon equation expansion method

Journal of Physics A General Physics ◽

10.1088/0305-4470/36/7/311 ◽

2003 ◽

Vol 36 (7) ◽

pp. 1961-1972 ◽

Cited By ~ 36

Author(s):

Zhenya Yan

Keyword(s):

Nonlinear Wave ◽

Elliptic Function ◽

Wave Equations ◽

Gordon Equation ◽

Expansion Method ◽

Nonlinear Wave Equations ◽

Jacobi Elliptic Function

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