[1] He J H. Analytical solution of a nonlinear oscillator by the linearized perturbation technique[J]. Commun Nonlinear Sci Numer Simul, 1999, 4(2): 109-113.
[2] Cui M. Compact finite difference method for the fractional diffusion equation [J]. J Comput Phys, 2009, 228(20): 7792-7804.
[3] El-Sayed A M A, Gaber M. The Adomian decomposition method for solving partial differential equations of fractal order in finite domains [J]. Phys Lett A, 2006, 359(3): 175-182.
[4] Odibat Z, Momani S. A generalized differential transform method for linear partial differential equations of fractional order [J]. Appl Math Lett, 2008, 21(2): 194-199.
[5] He J H. A new approach to nonlinear partial differential equations [J]. Commun Nonlinear Sci Numer Simul, 1997, 2(4): 230-235.
[6] He J H. A coupling method of a homotopy technique and a perturbation technique for non-linear problems [J]. Internat J Non-Linear Mech, 2000, 35(1): 37-43.
[7] Mophou G M. Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay [J]. Applied Mathematics and Computation, 2010, 216(1): 61-69.
[8] Xue C, Nie J, Tan W. An exact solution of start-up flow for the fractional generalized Burgers fluid in a porous half-space [J]. Nonlinear Anal, 2008, 69(7): 2086-2096.
[9] Molliq R Y, Noorani M S M, Hashim I. Variational iteration method for fractional heat- and wave-like equations [J]. Nonlinear Anal, 2009, 10(3): 1854-1869.
[10] He J H, Wu X. Exp-function method for nonlinear wave equations [J]. Chaos Solitons Fractals, 2006, 30(3): 700-708.
[11] Geng T, Shan W R. A new application of Riccati equation to some nonlinear evolution equations[J]. Phys Lett A, 2008, 372(10): 1626-1630.
[12] Zhang S. Exp-function method for solving Maccaris system [J]. Phys Lett A, 2007, 371(1/2): 65-71.
[13] Bekir A, Boz A. Exact solutions for nonlinear evolution equations using Exp-function method [J]. Phys Lett A, 2008, 372(10): 1619-1625.
[14] Wu X H, He J H. Solitary solutions, periodic solutions and compacton like solutions using the Exp-function method [J]. Comput Math Appl, 2007, 54(7/8): 966-986.
[15] Khani F, Hamedi-Nezhad S. Some new exact solutions of the (2 + 1)-dimensional variable coefficient Broer-Kaup system using the Exp-function method [J]. Comput Math Appl, 2009, 58(11/12): 2325-2329.
[16] Zhang S, Zhang H. Fractional sub-equation method and its applications to nonlinear fractional PDEs [J]. Phys Lett A, 2011, 375(7): 1069-1073.
[17] Wang M. Solitary wave solutions for variant Boussinesq equations [J]. Phys Lett A, 1995, 199(1/2): 169-172.
[18] Jumarie G. Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results [J]. Comput Math Appl, 2006, 51(9/10): 1367-1376.
[19] Guo S, Mei L, Li Y, et al. The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics [J]. Phys Lett A, 2012, 376(4): 407-411.
[20] Bekir A. The (G0G )-expansion method using modified Riemann-Liouville derivative for some space-time fractional differential equations [J]. Ain Shams Engineering Journal, 2014, 5(3): 959-965.
[21] Sirendaoreji. Auxiliary equation method and new solutions of Klein-Gordon equations [J]. Chaos, Solitons and Fractals, 2007, 31(4): 943-950.
[22] Zhou Y, Wang M, Wang Y. Periodic wave solutions to a coupled KdV equations with variable coefficients [J]. Phys Lett A, 2003, 308(1): 31-36. |