Gardner, C. S., Greene, J. M., Kruskal, M. D., & Miura, R. M. (1967). Method for solving
the Korteweg-deVries equation. Physical review letters, 19(19), 1095.
Jafari, H., Jassim, H. K., Baleanu, D., & Chu, Y. M. (2021). On the approximate solutions
for a system of coupled Korteweg–de Vries equations with local fractional derivative.
Fractals, 29(05), 2140012.
Park, C., Nuruddeen, R. I., Ali, K. K., Muhammad, L., Osman, M. S., & Baleanu, D.
(2020). Novel hyperbolic and exponential ansatz methods to the fractional fifth-order
Korteweg–de Vries equations. Advances in Difference Equations, 2020, 1-12.
Xiang, T. (2015). A summary of the Korteweg-de Vries equation. Institute for
Mathematical Sciences, Renmin University of China, Beijing, 100872.
Korteweg, D. J., & De Vries, G. (1895). XLI. On the change of form of long waves
advancing in a rectangular canal, and on a new type of long stationary waves. The London,
Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 39(240), 422-443.
Rizvi, S. T. R., Seadawy, A. R., Ashraf, F., Younis, M., Iqbal, H., & Baleanu, D. (2020).
Lump and interaction solutions of a geophysical Korteweg–de Vries equation. Results in
Physics, 19, 103661.
Cheemaa, N., Seadawy, A. R., Sugati, T. G., & Baleanu, D. (2020). Study of the dynamical
nonlinear modified Korteweg–de Vries equation arising in plasma physics and its
analytical wave solutions. Results in Physics, 19, 103480.
Kumar, S., Kumar, A., Abbas, S., Al Qurashi, M., & Baleanu, D. (2020). A modified
analytical approach with existence and uniqueness for fractional Cauchy reaction–diffusion
equations. Advances in Difference Equations, 2020(1), 28.
Vázquez, L., & Jafari, H. (2013). Fractional calculus: theory and numerical methods. Open
Physics, 11(10), 1163-1163.
Wu, Y., Geng, X., Hu, X., & Zhu, S. (1999). A generalized Hirota–Satsuma coupled
Korteweg–de Vries equation and Miura transformations. Physics Letters A, 255(4-6), 259-
264.
Abazari, R., & Abazari, M. (2012). Numerical simulation of generalized Hirota–Satsuma
coupled KdV equation by RDTM and comparison with DTM. Communications in
Nonlinear Science and Numerical Simulation, 17(2), 619-629.
Gbodogbe, S. O. (2025). Harmonizing epidemic dynamics: A fractional calculus approach
to optimal control strategies for cholera transmission. Scientific African, 27, e02545.
Akinyemi, L., & Huseen, S. N. (2020). A powerful approach to study the new modified
coupled Korteweg–de Vries system. Mathematics and Computers in Simulation, 177, 556-
567.
Lawal, O. W., & Loyinmi, A. C. (2011). The effect of magnetic field on MHD viscoelastic
flow and heat transfer over a stretching sheet. Pioneer J. Adv. Appl. Math, 3(2), 83-90.
Idowu, K. O., & Loyinmi, A. C. (2023). THE ANALYTIC SOLUTION OF NON-LINEAR
BURGERS–HUXLEY EQUATIONS USING THE TANH METHOD. Al-Bahir journal for
Engineering and Pure Sciences, 3(1), 8.
Loyinmi, A. C., & Lawal, O. W. (2011). The asymptotic solution for the steady variableviscosity
free convection flow on a porous plate. Journal of the Nigerian Association of
Mathematical Physics, 19.
Oluwafemi, W. L., Adedapo, C. L., & Sowunmi, O. S. (2017). Homotopy perturbation
algorithm using laplace transform for linear and nonlinear ordinary delay differential
equation. Journal of the Nigerian Association of Mathematical Physics, 41, 27-34.
Loyinmi, A. C., & Akinfe, T. K. (2020). Exact solutions to the family of Fisher's reactiondiffusion
equation using Elzaki homotopy transformation perturbation method.
Engineering Reports, 2(2), e12084.
Lawal, O. W., Loyinmi, A. C., & Ayeni, O. B. (2019). Laplace homotopy perturbation
method for solving coupled system of linear and nonlinear partial differential equation. J.
Math. Assoc. Niger, 46(1), 83-91.
Lot, S., Lawal, W. O., & Loyinmi, A. C. (2024). Magnetic Field’s Effect on Two-phase
Flow of Jeffrey and Non-Jeffrey Fluid With Partial Slip and Heat Transfer in an Inclined
Medium. Al-Bahir Journal for Engineering and Pure Sciences, 4(1), 8.
Loyinmi, A. C., & Akinfe, T. K. (2020). An algorithm for solving the Burgers–Huxley
equation using the Elzaki transform. SN Applied sciences, 2(1), 7.
Lawal, O. W., Loyinmi, A. C., & Hassan, A. R. (2019). Finite difference solution for
Magneto hydrodynamics thin film flow of a third grade fluid down inclined plane with
ohmic heating. J. Math. Assoc. Niger, 46(1), 92-97.
Mohammadi, F., Moradi, L., Baleanu, D., Jajarmi, A.: A hybrid functions numerical
scheme for fractional optimal control problems: application to nonanalytic dynamic
systems. J. Vib. Control 24, 5030–5043 (2018)
Lawal, O. W., Loyimi, A. C., & Erinle-Ibrahim, L. M. (2018). Algorithm for solving a
generalized Hirota-Satsuma coupled KDV equation using homotopy perturbation
transform method. Science World Journal, 13(3), 23-28.
Loyinmi, A. C., Sanyaolu, M. D., & Gbodogbe, S. (2025). Exploring the Efficacy of the
Weighted Average Method for Solving Nonlinear Partial Differential Equations: A Study
on the Burger-Fisher Equation. EDUCATUM Journal of Science, Mathematics and
Technology, 12(1), 60-79.
Lawal, O. W., & Loyinmi, A. C. (2012). Magnetic and porosity effect on MHD flow of a
dusty visco-elastic fluid through horizontal plates with heat transfer. J. Niger. Assoc. Math.
Phys, 21, 95-104.
Loyinmi, A. C., Oredein, A. I., & Prince, S. U. (2018). Homotopy adomian decomposition
method for solving linear and nonlinear partial differential equations. Tasued J. Pure Appl.
Sci, 1, 254-260.
Idowu, K. O., Akinwande, T. G., Fayemi, I., Adam, U. M., & Loyinmi, A. C. (2023).
Laplace Homotopy Perturbation Method (LHPM) for solving systems of N-dimensional
non-linear partial differential equation. Al-Bahir Journal for Engineering and Pure
Sciences, 3(1), 11-27.
Loyinmi, A. C., & Idowu, K. O. (2023). Semi-analytic approach to solving rosenau-hyman
and korteweg-de vries equations using integral transform. Tanzania Journal of Science,
49(1), 26-40.
Lawal, O. W., & Loyimi, A. C. (2019). Application of new iterative method for solving
linear and nonlinear initial boundary value problems with non local conditions. Science
World Journal, 14(3), 100-104.
Maturi, D. A. (2012). Homotopy perturbation method for the generalized Hirota-Satsuma
coupled KdV equation. Applied Mathematics, 3(12), 1983-1989.
Loyinmi, A. C., Erinle-Ibrahim, L. M., & Adeyemi, A. E. (2017). The new iterative method
(NIM) for solving telegraphic equation. J. Niger. Assoc. Math. Phys, 43, 31-36.
Lawal, O. W., Loyinmi, A. C., & Arubi, D. A. (2017). Approximate solutions of higher
dimensional linear and nonlinear initial boundary valued problems using new iterative
method. J. Niger. Assoc. Math. Phys, 41, 35-40.
Loyinmi, A. C., Lawal, O. W., & Sottin, D. O. (2017). Reduced differential transform
method for solving partial integro-differential equation. J. Niger. Assoc. Math. Phys, 43,
37-42.
Loyinmi, A. C., & Lawal, O. W. (2011). The asymptotic solution for the steady variableviscosity
free convection flow on a porous plate. Journal of the Nigerian Association of
Mathematical Physics, 19.
Gokdogan, A., Yildirim, A., & Merdan, M. (2012). Solving coupled-KdV equations by
differential transformation method. World Appl. Sci. J, 19(12), 1823-1828.
Jafari, H., & Firoozjaee, M. A. (2010). Homotopy analysis method for solving KdV
equations. Surveys in Mathematics and its Applications, 5, 89-98.
Lu, D., Suleman, M., Ramzan, M., & Ul Rahman, J. (2021). Numerical solutions of
coupled nonlinear fractional KdV equations using He’s fractional calculus. International
Journal of Modern Physics B, 35(02), 2150023.
Jafari, H., Nazari, M., Baleanu, D., & Khalique, C. M. (2013). A new approach for solving
a system of fractional partial differential equations. Computers & Mathematics with
Applications, 66(5), 838-843.
Elzaki, T. M. (2011). On the connections between Laplace and Elzaki transforms.
Advances in Theoretical and Applied mathematics, 6(1), 1-11.