[1] I. Podlubny, Fractional differential equations, Academic Press. San Diego, 1999.
[2] K.S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York, 1993.
[3] K.B. Oldham and J. Spanier, The fractional calculus: Integrations and differentiations of arbitrary order, Academic Press, New York, 1974.
[4] B.R. Sontakke, A. Shaikh and V. Jadhav, Fractional complex transform for approximate solution of time fractional Zakharov-Kuznetsov equation, IJPAM 116 (4) (2017) 913–927.
[5] B.R. Sontakke and A. Shaikh, Approximate solutions of time-fractional Kawahara and modified Kawahara equations by Fractional complex transform, CNA 2 (2016) 218–229.
[6] B.R. Sontakke and A. Shaikh, Numerical Solutions of Time Fractional Fornberg-Whitham And Modified Fornberg with am Equations Using New Iterative Method, Asian J. Math. Comput. Res. 13(2) (2016) 66–76.
[7] M. Inc, The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method, J. Math. Anal. Appl. 345 (2008) 476–484.
[8] B.P. Moghaddam and JAT. Machado, A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations, Comput. Math. Appl. 73 (2017) 1262–1269.
[9] IE. Inan, S. Duran and Y. Ugurlu, tan(F(ξ2))-expansion method for traveling wave solutions of AKNS and Burgerslike equations Modified method of simplest equation and its applications to the Bogoyavlenskii equation, Optik 138 (2017) 15–20.
[10] N.H. Sweilam, S.M. Al-Mekhlafi and A.O. Albalawi, A novel variable-order fractional nonlinear Klein Gordon model: A numerical approach. Numer. Methods Partial Differ. Equ. 35 (2019) 1617–1629.
[11] Y. Shekari, A. Tayebi and M.H. Heydari, A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation, Comput. Methods Appl. Mech. Engrg. 350 (2019) 154–168.
[12] D.J. Korteweg and G. de Vries, On the change of form of long waves advancing in a rectangular canal and on a new type of long stationary waves, Philos. Mag. 39 (1895) 422–443.
[13] A. Jeffrey and T. Kakutani, Weak nonlinear dispersive waves: A discussion centered around the Korteweg-de Vries equation, SIAM Rev. 14 (1972) 582–643.
[14] A.C. Scott, F.Y.F. Chu and D.W. McLaughlin, The soliton: a new concept in applied science, Proc. IEEE 61 (1973) 1443–1483.
[15] R.M. Miura, The Korteweg-de Vries equation: a survey of results, SIAM Rev. 18 (1976) 412–459.
[16] R. Grimshaw, E. Pelinovsky and T. Talipova, Solitary wave transformation in a medium with sign-variable quadratic nonlinearity and cubic nonlinearity, Phys. D 132 (1999) 40–62.
[17] R. Grimshaw, D. Pelinovsky, E. Pelinovsky and T. Talipova, Wave group dynamics in weakly nonlinear long-wave models, Phys. D 159 (2001) 35–57.
[18] Y. Pomeau, A. Ramani and B. Grammaticos, Structural stability of the Korteweg-de Vries solitons under a singular perturbation, Physica D 31 (1988) 127–134.
[19] A.M. Wazwaz, Partial differential equations and solitary waves theory, Springer Science and Business Media, 2010.
[20] E.M.E. Zayed and K.A.E. Alurrfi, The modified Kudryashov method for solving some seventh order nonlinear PDEs in mathematical physics, WJMS. 11 (2015) 308–319.
[21] D.D. Ganji, A.G. Davodi and Y.A. Geraily, Sawada KoteraIto, Lax and Kaup Kupershmidt equations using Exp function method, Math. Meth. Appl. Sci. 33 (2010) 167–176.
[22] J. Feng, New travelling wave solutions to the seventh-order Sawada-Kotera equation, J. Appl. Math. Inf. 28 (2010) 1431–1437.
[23] Y.J. Shen, Y.T. Gao, X. Yu, G. Meng and Y. Qin, Bell-polynomial approach applied to the seventh-order Sawada Kotera Ito equation, Appl. Math. Comput. 227 (2014) 502–508.
[24] A.M. Wazwaz, The Hirota’s direct method and the tanh-coth method for multiple-soliton solutions of the Sawada Kotera-Ito seventh-order equation, Appl. Math. Comput. 199 (2008) 133–138.
[25] H. Nemati, Z. Eskandari, F. Noori and M. Ghorbanzadeh, Application of the homotopy perturbation method to seven-order Sawada-Kotara equations, J. Eng. Sci. Technol. Rev. 4 (2011) 101–104.
[26] A.H. Salas, C.A. Gomez and B.A. Frias, Computing exact solutions to a generalized Lax-Sawada-Kotera-Ito seventh order KdV equation, Math. Probl. Eng. 2010 (2010) 7 pages.
[27] M. Saravi, A. Nikkar, M. Hermann, J. Vahidi and R. Ahari, A new modified approach for solving seven-order Sawada-Kotara equations, J. Math. Computer Sci. 6 (2013) 230–237.
[28] A.A. Al-Shawba, A. Gepreel, F.A. Abdullah and A. Azmi, Abundant closed form solutions of the conformable time-fractional Sawada-Kotera-Ito equation using G0/G-expansion method, Results Phys. 9 (2018) 337–343.
[29] E. Yassar, Y. Yldrm and C.M. Khalique, Lie symmetry analysis, conservation laws and exact solutions of the seventh-order time fractional Sawada Kotera Ito equation, Results Phys. 6 (2016) 322–328.
[30] E. Fan, Extended tanh-function method and its applications to nonlinear equations, Phys. Lett. A 277 (2000) 212–218.
[31] U.M. Abdelsalam, Exact travelling solutions of two coupled (2 + 1)-dimensional equations, Egypt. Math. Soc. 25 (2017) 125–128.
[32] R. Khalil, M.A. Horani, A. Yousef and M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math. 264 (2014) 65–70.