A NOTE FOR FINDING EXACT SOLUTIONS OF SOME NONLINEAR DIFFERENTIAL EQUATIONS

References (1)

1. ⦁ Kudryashov, N. A. Logistic function as solution of many nonlinear differential equations, Applied Mathematical Modelling 39, 5733 – 5742,2015. ⦁ Kudryashov, N.A. Polynomials in logistic function and solitary waves of nonlinear differential equations, Appl. Math. Comput. 219, 9245–9253,2013. ⦁ Whitham, G. B. A general approach to linear and nonlinear waves using a Lagrangian, J. Fluid Mech., 22, 273-283, 1965. ⦁ Malfliet, W. Solitary wave solutions of nonlinear wave equations, Am. J. Phys. 60, 650–654, 1992. ⦁ Malfliet, W. Hereman, W. The tanh method: I. Exact solutions of nonlinear evolution and wave equations, Phys. Scripta 54, 563–568, 1996. ⦁ Parkes, E.J. Duffy, B.R. An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equations, Comput. Phys. Commun. 98, 288–300, 1996. ⦁ Malfliet, W. Hereman, W. The tanh method: II. Perturbation technique for conservative systems, Phys. Scripta 54, 569–575, 1996. ⦁ Yan, Z. Y. An improved algebra method and its applications in nonlinear wave equations,Chaos Solitons & Fractals 21, 1013-1021, 2004. ⦁ Hereman, W. and Nuseir, A. Symbolic methods to construct exact solutions of nonlinear partial differential equations, Mathematics and Computers in Simulation, 43, 13-27, 1997. ⦁ Wazwaz, A.M. Integrable (2 + 1)-dimensional and (3 + 1)-dimensional breaking soliton equations, Phys. Scr., 81, 035005, 2010. ⦁ Ma, S.-H. Peng, J. Zhang, C. New exact solutions of the (2+1)-dimensional breaking soliton system via an extended mapping method, Chaos, Solitons and Fractals, 46, 210-214, 2009. ⦁ Pinar,Z. Ozis, T. An Observation on the Periodic Solutions to nonlinear Physical models by means of the auxiliary equation with a sixth-degree nonlinear term, Commun Nonlinear Sci Numer Simulat, 18, 2177-2187, 2013. ⦁ Pinar,Z. Ozis, T. The Periodic Solutions to Kawahara Equation by Means of the Auxiliary Equation with a Sixth-Degree Nonlinear Term, Journal of Mathematics, 106349, 2013. ⦁ Kudryashov, N.A. Simplest equation method to look for exact solutions of nonlinear differential equations, Chaos Soliton Frac. 24, 1217–1231, 2005. ⦁ Kudryashov, N.A. Loguinova, N.B. Extended simplest equation method for nonlinear differential equations, Appl. Math. Comput. 205, 396–402, 2008. ⦁ Kudryashov, N.A. Meromorphic solutions of nonlinear ordinary differential equations, Commun. Nonlinear Sci. Numer. Simul. 15, 2778–2790, 2010. ⦁ Aslan, I. Özis, T. Analytic study on two nonlinear evolution equations by using the (G