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International Journal of Computer Mathematics Volume 81, 2004 - Issue 9
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Special types of the nonlinear dispersive Zakharov–Kuznetsov equation with compactons, solitons, and periodic solutions

Abdul-Majid WazwazCorrespondence[email protected]
Pages 1107-1119 | Received 08 Dec 2003, Published online: 25 Jan 2007

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Abdul-Majid Wazwaz. (2007) New soliton and periodic solutions for the fifth-order forms of the Lax and Sawada–Kotera equations. International Journal of Computer Mathematics 84:11, pages 1663-1681.
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Articles from other publishers (21)

Gulalai, Aman Ullah, Shabir Ahmad & Mustafa Inc. (2022) Fractal fractional analysis of modified KdV equation under three different kernels. Journal of Ocean Engineering and Science.
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ASIM ZAFARAHMET BEKİRBUSHRA KHALIDMUHAMMAD AMJAD. (2021) ON OBLIQUE WAVE SOLUTIONS OF SOME SPACE-TIME FRACTIONAL MODIFIED KDV EQUATIONS. Journal of Science and Arts 21:4, pages 909-918.
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Feiting Fan, Yuqian Zhou & Xingwu Chen. (2021) TRAVELING WAVES AND THEIR EVOLUTION FOR THE ZK(N, 2N, -N) EQUATION. Journal of Applied Analysis & Computation 11:6, pages 2959-2980.
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Asim Zafar, Hadi Rezazadeh, Ahmet Bekir & Abdul Malik. (2019) Exact solutions of $$(3+1)$$-dimensional fractional mKdV equations in conformable form via $$\exp (-\phi (\tau ))$$ expansion method. SN Applied Sciences 1:11.
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Changzhao Li & Juan Zhang. (2019) Lie Symmetry Analysis and Exact Solutions of Generalized Fractional Zakharov-Kuznetsov Equations. Symmetry 11:5, pages 601.
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Chun-Ku Kuo. (2018) The new exact solitary and multi-soliton solutions for the (2 1)-dimensional Zakharov–Kuznetsov equation . Computers & Mathematics with Applications 75:8, pages 2851-2857.
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Yusuf Gurefe, Yusuf Pandir, Tolga Akturk & Hasan Bulut. (2017) ELLIPTIC FUNCTION SOLUTIONS FOR SOME NONLINEAR PDES IN MATHEMATICAL PHYSICS. Journal of Applied Analysis & Computation 7:1, pages 372-391.
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Ding-jiang Huang & Nataliya M. Ivanova. (2016) Algorithmic framework for group analysis of differential equations and its application to generalized Zakharov–Kuznetsov equations. Journal of Differential Equations 260:3, pages 2354-2382.
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Haili Xue & Yafeng Xiao. (2010) Extended tanh<inf>q</inf> function expansion solutions to a class of the nonlinear evolution equations. Extended tanh<inf>q</inf> function expansion solutions to a class of the nonlinear evolution equations.
Huabing Jia & Wei Xu. (2010) Solitons solutions for some nonlinear evolution equations. Applied Mathematics and Computation 217:4, pages 1678-1687.
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Mustafa Inc. (2009) Constructing solitary pattern solutions of the nonlinear dispersive Zakharov–Kuznetsov equation. Chaos, Solitons & Fractals 39:1, pages 109-119.
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Abdul-Majid Wazwaz. (2008) The extended tanh method for the Zakharov–Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms. Communications in Nonlinear Science and Numerical Simulation 13:6, pages 1039-1047.
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Abdul-Majid Wazwaz. (2008) New travelling wave solutions to the Boussinesq and the Klein–Gordon equations. Communications in Nonlinear Science and Numerical Simulation 13:5, pages 889-901.
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Changbum Chun. (2008) Solitons and periodic solutions for the fifth-order KdV equation with the Exp-function method. Physics Letters A 372:16, pages 2760-2766.
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Abdul-Majid Wazwaz. (2008) New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations. Communications in Nonlinear Science and Numerical Simulation 13:2, pages 331-339.
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Abdul-Majid Wazwaz. (2007) The extended tanh method for abundant solitary wave solutions of nonlinear wave equations. Applied Mathematics and Computation 187:2, pages 1131-1142.
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Abdul-Majid Wazwaz. (2007) New solitary wave solutions to the modified forms of Degasperis–Procesi and Camassa–Holm equations. Applied Mathematics and Computation 186:1, pages 130-141.
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. (2007) Compacton and periodic wave solutions of the non-linear dispersive Zakharov-Kuznetsov equation. Open Physics 5:3.
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Abdul-Majid Wazwaz. (2007) The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations. Applied Mathematics and Computation 184:2, pages 1002-1014.
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Abdul-Majid Wazwaz. (2006) Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method. Applied Mathematics and Computation 182:1, pages 283-300.
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Abdul-Majid Wazwaz. (2006) New travelling wave solutions of different physical structures to generalized BBM equation. Physics Letters A 355:4-5, pages 358-362.
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