참고문헌
- M.Eslami, B.F.Vajargah, M.Mirzazadeh and A.Biswas, Application of first integral method to fractional partial differential equations Indian Journal of Physics, 88, 177-184, 2014. https://doi.org/10.1007/s12648-013-0401-6
- M.Mirzazadeh, M.Eslami and A.Biswas, Solitons and periodic solutions to a couple of fractional nonlinear evolution equations Pramana Journal of Physics 82, 465-476, 2014. https://doi.org/10.1007/s12043-013-0679-0
- A.Saadatmandi and M. Dehghan, The Sinc-Legendre collocation method for a classof fractional convection-diffusion equations with variable coefficients, Commun Nonlinear Sci Numer Simulat., 17, 4125-4136, 2012. https://doi.org/10.1016/j.cnsns.2012.03.003
- Kutchai. H, Numerical study of oxygen uptake by layers of hemoglobin solution, Respiration Physiology 10, 273-284, 1970. https://doi.org/10.1016/0034-5687(70)90048-4
- N. A. Kudryashov and A. S. Zakharchenko, Painleve analysis and exact solutions of a predator.prey system with diffusion, Mathematical Methods in the Applied Sciences, Published online inWiley Online Library, 2014.
- N.A.Kudryashov, One method for finding exact solutions of nonlinear differential equations, Communications in Nonlinear Sciences and Numerical Simulation, 17, 2248-2253, 2012. https://doi.org/10.1016/j.cnsns.2011.10.016
- N.A.Kudryashov, Polynomials in logistic function and solitary waves of nonlinear differential equations, Applied Mathematics and Computation, 219, 9245-9253, 2013. https://doi.org/10.1016/j.amc.2013.03.032
- P.N.Ryabov, D.I.Sinelshchikov and M.B.Kochanov MB, Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations, Applied Mathematics and Computation, 218, 3965-3972, 2011. https://doi.org/10.1016/j.amc.2011.09.027
- N.A.Kudryashov and A.S.Zakharchenko, Painleve analysis and exact solutions of a predator-prey system with diffusion, Math. Meth. Appl. Sci. DOI:10.1002/mma.3156, 2014.
- G. Jumarie, Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results, Comput. Math. Appl., 51, 1367-1376, 2006. https://doi.org/10.1016/j.camwa.2006.02.001
- J. H. Choi, H. Kim and R. Sakthivel, Exact solution of the wick-type stochastic fractional coupled KdV equations, J. Math. Chem., 2482-2493, 2014.
- W. Malfliet, Hereman W, The tanh method: I. Exact solutions of nonlinear evolution and wave equations, Physica Scripta, 54, 563-568, 1996. https://doi.org/10.1088/0031-8949/54/6/003
- E.J. Parkes and B.R. Duffy, An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equations, Computer Physics Communications, 98, 288-300, 1996. https://doi.org/10.1016/0010-4655(96)00104-X
- A. Biswas, Solitary wave solution for the generalized Kawahara equation, AppliedMathematics Letters, 22, 208-210, 2009.
- N.A. Kudryashov, Exact solutions of the generalized Kuramoto-Sivashinsky equation, Physics Letters A, 147, 287-291, 1990. https://doi.org/10.1016/0375-9601(90)90449-X
- N.A. Kudryashov, Simplest equation method to look for exact solutions of nonlinear differential equations, Chaos, Solitons & Fractals, 24, 1217-1231, 2005. https://doi.org/10.1016/j.chaos.2004.09.109
- N.K. Vitanov, Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity, Communications in Nonlinear Science and Numerical Simulation, 15, 2050-2060, 2010. https://doi.org/10.1016/j.cnsns.2009.08.011
- M.L. Wang, X Li and J. Zhang, The G'/G-expansion method and evolution equation in mathematical physics. Physics Letters A 2008; 372:417.421. https://doi.org/10.1016/j.physleta.2007.07.051
- N.A. Kudryashov, A note on the G'/G-expansion method. AppliedMathematics and Computation, 217, 1755-1758, 2010.
- P.N. Ryabov, D.I. Sinelshchikov and M.B. Kochanov, Application of the Kudryashovmethod for finding exact solutions of the high order nonlinear evolution equations, AppliedMathematics and Computation 218, 3965-3972, 2011.
- M.M. Kabir, A. Khajeh, A.E. Abdi and A. Koma, Yousefi Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations, Mathematical methods in Applied Sciences, 34, 213-219, 2011. https://doi.org/10.1002/mma.1349
- H. Kim, JH. Bae and R. Sakthivel, Exact travelling wave solutions of two important nonlinear partial differential equations, Z. Naturforsch, 69a, 155-162, 2014.