A better approximation to Sawada-Kotera via differential transform method with hybrid grey Wolf and Cuckoo algorithm
*Karam Adel AbedCorresponding authorkaramadel@uomosul.edu.iqDepartment of Operations Research and Intelligence TechniquesCollege of Computer Sciences and MathematicsUniversity of MosulMosul, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 15 Sep 2021
- Accepted:
- 09 Mar 2022
- Published Online:
- 30 Sep 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1513
- Pages:
- 1231–1241
Abstract
Keywords
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References
[1] D. Ganji, N. Jamshidi, and Z. Ganji, “HPM and VIM methods for finding the exact solutions of the nonlinear dispersive equations and seventh-order Sawada–Kotera equation,” International Journal of Modern Physics B, vol. 23, no. 01, pp. 39-52 (2009).
[2] A. Salas, “Some solutions for a type of generalized Sawada–Kotera equation,” Applied Mathematics and Computation, vol. 196, no. 2, pp. 812-817 (2008).
[3] Y. Guo, D. Li, and J. Wang, “The new exact solutions of the Fifth-Order Sawada–Kotera equation using three wave method,” Applied Mathematics Letters, vol. 94, pp. 232-237 (2019).
[4] A. R. Adem et al., “Multiple soliton solutions of the Sawada-Kotera equation with a nonvanishing boundary condition and the perturbed Korteweg de Vries equation by using the multiple exp-function scheme,” Advances in Mathematical Physics, vol. 2019, pp. 1-5 (2019).
[5] S. Mirjalili, S. M. Mirjalili, and A. Lewis, “Grey Wolf Optimizer,” Advances in Engineering Software, vol. 69, pp. 46-61 (2014).
[6] K. A. Abed and A. A. Ahmad, “The best parameters selection using PSO algorithm to solving for Ito system by new iterative technique,” Indonesian Journal of Electrical Engineering and Computer Science, vol. 18, no. 3, pp. 1638-1645 (2020).
[7] A. A. Ahmad, “By using a new iterative method to the generalized system Zakharov–Kuznetsov and estimate the best parameters via applied the PSO algorithm,” Indonesian Journal of Electrical Engineering and Computer Science, vol. 19, no. 2, pp. 1055-1061 (2020).
[8] C. Muro et al., “Wolf-pack (Canis lupus) hunting strategies emerge from simple rules in computational simulations,” Behav Processes, vol. 88, no. 3, pp. 192-197 (2011).
[9] O. Bazighifan, H. Ahmad, and S.-W. Yao, “New oscillation criteria for advanced differential equations of fourth order,” Mathematics, vol. 8, no. 5, p. 728 (2020).
[10] A. E. Abouelregal, H. Ahmad, and S.-W. Yao, “Functionally graded piezoelectric medium exposed to a movable heat flow based on a heat equation with a memory-dependent derivative,” Materials, vol. 13, no. 18, p. 3953 (2020).
[11] I. Ahmad et al., “Solution of multi-term time-fractional PDE models arising in mathematical biology and physics by local meshless method,” Symmetry, vol. 12, no. 7, p. 1195 (2020).
[12] A. Yokus, H. Durur, and H. Ahmad, “Hyperbolic type solutions for the couple Boiti-Leon-Pempinelli system,” Facta Universitatis, Series: Mathematics and Informatics, vol. 35, no. 2, pp. 523-531 (2020).
[13] A. S. Al-Obeidi and S. F. Al-Azzawi, “Hybrid synchronization of high-dimensional chaos with self-excited attractors,” Journal of Interdisciplinary Mathematics, vol. 23, no. 8, pp. 1569-1584 (2020).
[14] M. M. Aziz and S. F. Al-Azzawi, “A modification of nonlinear feedback controller,” International Journal of Computing Science and Mathematics, vol. 13, no. 1, pp. 64-79 (2021).
[15] A. S. Al-Obeidi and S. F. Al-Azzawi, “A novel six-dimensional hyperchaotic system with self-excited attractors and its chaos synchronisation,” International Journal of Computing Science and Mathematics, vol. 15, no. 1, pp. 72-84 (2022).
[16] K. A. Abed, “Controlling of jerk chaotic system via linear feedback control strategies,” Indonesian Journal of Electrical Engineering and Computer Science, vol. 20, no. 1, pp. 370-378 (2020).
[17] A. F. Qasim, K. A. Abed, and O. S. Qasim, “Optimal parameters for nonlinear Hirota-Satsuma coupled KdV system by using hybrid firefly algorithm with modified Adomian decomposition,” Journal of Mathematical & Fundamental Sciences, vol. 52, no. 3 (2020).
[18] Y. Yamamoto and É. I. Takizawa, “On a solution of non-linear time-evolution equation of fifth order,” Journal of the Physical Society of Japan, vol. 50, no. 5, pp. 1421-1422 (1981).
[19] H. Ahmad et al., “Modified variational iteration technique for the numerical solution of fifth order KdV-type equations,” Journal of Applied and Computational Mechanics, (2020).
[20] H. Durur and A. Yokuş, “Hyperbolic traveling wave solutions for Sawada–Kotera equation using (1/G’)-expansion method,” Afyon Kocatepe University Journal of Sciences and Engineering, vol. 19, no. 3, pp. 615-619 (2019).
[21] H. O. Bakodah, “Modified Adomain decomposition method for the generalized fifth order KdV equations,” (2013).
[22] M. M. Rashidi and E. Erfani, “Traveling wave solutions of WBK shallow water equations by differential transform method,” Advances in Theoretical and Applied Mechanics, vol. 3, no. 6, pp. 263-271 (2010).
[23] A. Mahmoud, S. Abdelghany, and K. Ewis, “Free vibration of uniform and non-uniform Euler beams using the differential transformation method,” Asian Journal of Mathematics and Applications, (2013).
[24] H. Günerhan et al., “Numerical solution of fractional order logistic equations via conformable fractional differential transform method,” Journal of Interdisciplinary Mathematics, vol. 24, no. 5, pp. 1207-1220 (2021).
