Solitary wave solutions of the (2+1)-dimensional Zakharov-Kuznetsevmodified equal-width equation

References

• Wang M., Li X., Zhang J., The (G′/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics. Phys. Lett. A. 372(2008) 417–423. doi: 10.1016/j.physleta.2007.07.051
   Web of Science ®Google Scholar
• Akbar M.A., Ali N.H.M., Mohyud-Din S.T., The alternative (G′/G)-expansion method with generalized Riccati equation: Application to fifth order (1+1)-dimensional Caudrey-Dodd-Gibbon equation. Int. J. Phys. Sci. 7(5)(2012c) 743–752.
   Google Scholar
• Aslan I., Analytic solutions to nonlinear differential-difference equations by means of the extended (G′/G)-expansion method, J. Phys. A: Math. Theor. 43 (2010) 395207 (10pp). doi: 10.1088/1751-8113/43/39/395207
   Web of Science ®Google Scholar
• S. Zhang, J. Tong and W. Wang, A generalized (G′/G)-expansion method for the mKdV equation with variable coefficients, Phys. Letters A, 372 (2008) 2254–2257. doi: 10.1016/j.physleta.2007.11.026
   Web of Science ®Google Scholar
• J. Zhang, X.Wei and Y.Lu, A generalized (G′/G)-expansion method and its applications, Phys.Letters A, 372 (2008) 3653–3658. doi: 10.1016/j.physleta.2008.02.027
   Web of Science ®Google Scholar
• Hirota R., Exact envelope soliton solutions of a nonlinear wave equation. J. Math. Phy. 14(1973) 805–810. doi: 10.1063/1.1666399
   Web of Science ®Google Scholar
• Hirota R., Satsuma J., Soliton solutions of a coupled KDV equation. Phy. Lett. A. 85(1981) 404–408. doi: 10.1016/0375-9601(81)90423-0
   Web of Science ®Google Scholar
• Jawad A.J.M, Petkovic MD., Biswas A., Modified simple equation method for nonlinear evolution equations. Appl Math Comput 2010; 217 : 869–77.
   Web of Science ®Google Scholar
• Khan K., Akbar M.A., Exact and solitary wave solutions for the Tzitzeica–Dodd–Bullough and the modified KdV– Zakharov–Kuznetsov equations using the modified simple equation method, Ain Shams Eng J (2013), 4:903–909. (doi.org/10.1016/j.asej.2013.01.010) doi: 10.1016/j.asej.2013.01.010
   Google Scholar
• Khan K., Akbar, M.A., Exact solutions of the (2+1)-dimensional cubic Klein–Gordon equation and the (3+1)-dimensional Zakharov– Kuznetsov equation using the modified simple equation method. Journal of the Association of Arab Universities for Basic and Applied Sciences(2013),15:74–81.(doi:10.1016/j.jaubas.2013.05.001)
   Google Scholar
• Zayed EME, Arnous AH. Exact solutions of the nonlinear ZK-MEW and the Potential YTSF equations using the modified simple equation method. AIP Conf. Proc. 2012;1479:2044,doi: 10.1063/1.4756591. doi: 10.1063/1.4756591
   Google Scholar
• Wazwaz A.M., The tanh-function method: Solitons and periodic solutions for the DoddBullough-Mikhailov and the Tzitzeica-DoddBullough equations, Chaos Solitons and Fractals, Vol. 25, No. 1, pp. 55–63, 2005. doi: 10.1016/j.chaos.2004.09.122
   Web of Science ®Google Scholar
• He J.H., Wu X.H., Exp-function method for nonlinear wave equations, Chaos, Solitons and Fract. 30(2006) 700–708. doi: 10.1016/j.chaos.2006.03.020
   Web of Science ®Google Scholar
• Akbar M.A., Ali N.H.M., Exp-function method for Duffing Equation and new solutions of (2+1) dimensional dispersive long wave equations. Prog. Appl. Math. 1(2)(2011) 30–42.
   Google Scholar
• Bekir A., Boz A., Exact solutions for nonlinear evolution equations using Exp-function method. Phy. Lett. A. 372(2008) 1619–1625. doi: 10.1016/j.physleta.2007.10.018
   Web of Science ®Google Scholar
• He, J.H.,Wu, X.H.. Exp-function method for nonlinear wave equations. Chaos, Solitons and Fractals, 30(2006):700. doi: 10.1016/j.chaos.2006.03.020
   Web of Science ®Google Scholar
• Zhang, S.. Application of Exp-function method to a KdV equation with variable coefficients. Phys. Lett. A, 365(2007):448. doi: 10.1016/j.physleta.2007.02.004
   Web of Science ®Google Scholar
• Ali A.T., New generalized Jacobi elliptic function rational expansion method. J. Comput. Appl. Math. 235(2011) 4117–4127. doi: 10.1016/j.cam.2011.03.002
   Web of Science ®Google Scholar
• Mohiud-Din S.T., Homotopy perturbation method for solving fourthorder boundary value problems, Math. Prob. Engr. Vol. 2007, 1–15, Article ID 98602, doi:10.1155/2007/98602.
   Web of Science ®Google Scholar
• Mohyud-Din S. T. and Noor M. A., Homotopy perturbation method for solving partial differential equations, Zeitschrift für Naturforschung A- A Journal of Physical Sciences, 64a (2009), 157–170.
   Google Scholar
• Mohyud-Din S. T., Yildirim A., Sariaydin S., Numerical soliton solutions of the improved Boussinesq equation, International Journal of Numerical Methods for Heat and Fluid Flow 21 (7) (2011):822–827. doi: 10.1108/09615531111162800
   Web of Science ®Google Scholar
• Fan, E., Zhang H.. A note on the homogeneous balance method. Phys. Lett. A, 246(1998): 403. doi: 10.1016/S0375-9601(98)00547-7
   Web of Science ®Google Scholar
• Abdel Rady A.S., Osman E.S., Khalfallah M. The homogeneous balance method and its application to the Benjamin–Bona–Mahoney (BBM) equation. Applied Mathematics and Computation, 217(4) (2010):1385. doi: 10.1016/j.amc.2009.05.027
   Web of Science ®Google Scholar
• Khan K., Akbar M. A. Traveling Wave Solutions of Nonlinear Evolution Equations via the Enhanced (G’/G)-expansion Method. J. Egyptian Math. Soc. (2014) 22, 220–226. http://dx.doi.org/10.1016/j.joems.2013.07.009 doi: 10.1016/j.joems.2013.07.009
   Google Scholar
• Islam M. E., Khan K., Akbar M. A., Islam R. Traveling wave solutions of nonlinear evolution equation via enhanced (G’/G)-expansion method. GANIT J. Bangladesh Math. Soc. 33 (2013) 83–92. http://dx.doi.org/10.3329/ganit.v33i0.17662
   Google Scholar
• Khan K., Akbar M. A., Salam M. A., Islam M. H. A Note on Enhanced (G’/G)-Expansion Method in Nonlinear Physics. Ain Shams Engr. J. 5(2014), 877–884, http://dx.doi.org/10.1016/j.asej.2013.12.013
   Google Scholar