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.