On the Exact Solution of Burgers-Huxley Equation Using the Homotopy Perturbation Method

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References

[1] He, J.H. (1999) Homotopy Perturbation Technique. Computer Methods in Applied Mechanics and Engineering, 178, 257-262.

http://dx.doi.org/10.1016/S0045-7825(99)00018-3

[2] He, J.H. (2005) Application of Homotopy Perturbation Method to Nonlinear Wave Equations. Chaos Solitons & Fractals, 26, 695-700.

http://dx.doi.org/10.1016/j.chaos.2005.03.006

[3] Nourazar, S.S., Soori, M. and Nazari-Golshan, A. (2011) On the Exact Solution of Newell-Whitehead-Segel Equation Using the Homotopy Perturbation Method. Australian Journal of Basic and Applied Sciences, 5, 1400-1411.

[4] Krisnangkura, M., Chinviriyasit, S. and Chinviriyasit, W. (2012) Analytic Study of the Generalized Burger’s-Huxley Equation by Hyperbolic Tangent Method. Applied Mathematics and Computation, 218, 10843-10847.

http://dx.doi.org/10.1016/j.amc.2012.04.044

[5] Gao, H. and Zhao, R.X. (2010) New Exact Solutions to the Generalized Burgers-Huxley Equation. Applied Mathematics and Computation, 217, 1598-1603.

http://dx.doi.org/10.1016/j.amc.2009.07.020

[6] Hashim, I., Noorani, M.S.M. and Said Al-Hadidi, M.R. (2006) Solving the Generalized Burgers-Huxley Equation Using the Adomian Decomposition Method. Mathematical and Computer Modelling, 43, 1404-1411.

http://dx.doi.org/10.1016/j.mcm.2005.08.017

[7] Wang, X.Y., Zhu, Z.S. and Lu, Y.K. (1990) Solitary Wave Solutions of the Generalised Burgers-Huxley Equation. Journal of Physics A: Mathematical and General, 23, 271.

http://dx.doi.org/10.1088/0305-4470/23/3/011

[8] Darvishi, M.T., Kheybari, S. and Khani, F. (2008) Spectral Collocation Method and Darvishi’s Preconditionings to Solve the Generalized Burgers-Huxley Equation. Communications in Nonlinear Science and Numerical Simulation, 13, 2091-2103.

http://dx.doi.org/10.1016/j.cnsns.2007.05.023

[9] Satsuma, J. (1987) Topics in Soliton Theory and Exactly Solvable Nonlinear Equations. World Scientific, The Singapore City.

[10] Wang, X.Y. (1985) Nerve Propagation and Wall in Liquid Crystals. Physics Letters A, 112, 402-406.

http://dx.doi.org/10.1016/0375-9601(85)90411-6

[11] Whitham, G.B. (1974) Linear and Nonlinear Waves. Wiley, New York.

[12] Deng, X.J. (2008) Travelling Wave Solutions for the Generalized Burgers-Huxley Equation. Applied Mathematics and Computation, 204, 733-737.

http://dx.doi.org/10.1016/j.amc.2008.07.020