RETRACTED: Computational and numerical simulations of the wave propagation in nonlinear media with dispersion processes
This record is marked as retracted by the source. Review the publisher’s notice before using its findings.
Source abstract
Abstract
In partial differential equations, the generalized modified equal-width (GMEW) equation is commonly used to model one-dimensional wave propagation in nonlinear media with dispersion processes. In this article, we use two modern, accurate analytical and numerical techniques to find the exact traveling wave solutions for the model we are looking at. The results are new, and at present, they can be used in many different areas of research, such as engineering and physics. The proposed numerical method is helpful because it gives an estimate on the accuracy of the solutions. Distinct graphs, such as a contour plot, a two-dimensional graph, and a three-dimensional graph, were used to show the analytical and numerical results. Using symbolic computation, we demonstrate that our approach is a powerful mathematical tool that can be applied to a wide range of nonlinear wave problems. This article was retracted on March 19, 2024.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Nonlinear Waves and Solitons · Nonlinear Photonic Systems · Differential Equations and Numerical Methods
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
1 Department of Financial Mathematics, School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu 212013, People;s Republic of China
Department of Mathematics, College of Science, Taif University 2 , P. O. Box 11099, Taif 21944,
Department of Basic Science, Zagazig Higher Institute of Engineering and Technology 3 , Zagazig,
School of Medical Informatics and Engineering, Xuzhou Medical University 4 , 209 Tongshan Road, 221004 Xuzhou, Jiangsu Province,
Department of Basic Science, Obour High Institute for Engineering and Technology 5 , 11828 Cairo,
Funding
Taif University
References (36)
Show source-provided references
1. Modified auxiliary equation method versus three nonlinear fractional biological models in present explicit wave solutions10.3390/mca24010001 ↗
2. Accurate computational simulations of perturbed Chen–Lee–Liu equation10.1016/j.rinp.2023.106227 ↗
3. On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation10.1016/j.chaos.2021.110676 ↗
4. Computational and numerical wave solutions of the Caudrey–Dodd–Gibbon equation10.1016/j.heliyon.2023.e13511 ↗
5. Modified extended tanh-function method and its applications to the Bogoyavlenskii equation10.1016/j.apm.2015.08.018 ↗
6. A hybrid analytical and numerical analysis of ultra-short pulse phase shifts10.1016/j.chaos.2023.113232 ↗
7. Analytical, semi-analytical, and numerical solutions for the Cahn–Allen equation10.1186/s13662-019-2475-8 ↗
8. Lump soliton wave solutions for the (2+ 1)-dimensional Konopelchenko–Dubrovsky equation and KdV equation10.1142/s0217984919501999 ↗
9. Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers10.1016/j.chaos.2022.113098 ↗
10. Analytically and numerically, dispersive, weakly nonlinear wave packets are presented in a quasi–monochromatic medium10.1016/j.rinp.2023.106312 ↗
11. The plethora of explicit solutions of the fractional KS equation through liquid–gas bubbles mix under the thermodynamic conditions via Atangana–Baleanu derivative operator10.1186/s13662-020-2540-3 ↗
12. Physics of crystal lattices and plasma; analytical and numerical simulations of the Gilson–Pickering equation10.1016/j.rinp.2022.106193 ↗
13. Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome10.1016/j.rinp.2021.103890 ↗
14. Analytical and semi-analytical solutions for Phi-four equation through three recent schemes10.1016/j.rinp.2021.103954 ↗
15. Explicit lump solitary wave of certain interesting (3 + 1)-dimensional waves in physics via some recent traveling wave methods10.3390/e21040397 ↗
16. Diverse solitary and Jacobian solutions in a continually laminated fluid with respect to shear flows through the Ostrovsky equation10.1142/s0217984921502201 ↗
17. Abundant breather and semi-analytical investigation: On high-frequency waves’ dynamics in the relaxation medium10.1142/s0217984921503723 ↗
18. On the numerical investigation of the interaction in plasma between (high & low) frequency of (Langmuir & ion-acoustic) waves10.1016/j.rinp.2020.103317 ↗
19. Analytical versus numerical solutions of the nonlinear fractional time–space telegraph equation10.1142/s0217984921503243 ↗
20. Nonparaxial pulse propagation in a planar waveguide with Kerr–like and quintic nonlinearities; computational simulations10.1016/j.chaos.2022.111970 ↗
21. Lax representation and bi-Hamiltonian structure of nonlinear Qiao model10.1142/s0217984921506144 ↗
22. Two-component plasma and electron trapping’s influence on the potential of a solitary electrostatic wave with the dust-ion-acoustic speed10.1016/j.joes.2022.02.006 ↗
23. Diverse soliton wave solutions of for the nonlinear potential Kadomtsev–Petviashvili and Calogero–Degasperis equations10.1016/j.rinp.2021.105116 ↗
24. Optical soliton wave solutions of the fractional complex paraxial wave dynamical model along with Kerr media10.1142/s0218348x22401533 ↗
25. In solid physics equations, accurate and novel soliton wave structures for heating a single crystal of sodium fluoride10.1142/S0217979223500686 ↗
26. De Broglie waves and nuclear element interaction; abundant waves structures of the nonlinear fractional Phi-four equation10.1016/j.chaos.2022.112549 ↗
27. Novel computational simulation of the propagation of pulses in optical fibers regarding the dispersion effect10.1142/s0217979223500832 ↗
28. Nonlinear elastic circular rod with lateral inertia and finite radius: Dynamical attributive of longitudinal oscillation10.1142/s0217979223500522 ↗
29. Analytical and numerical-simulation studies on a combined mKdV–KdV system in the plasma and solid physics10.1140/epjp/s13360-022-03285-3 ↗
30. Recent electronic communications; optical quasi–monochromatic soliton waves in fiber medium of the perturbed Fokas–Lenells equation10.1007/s11082-022-04007-w ↗
31. Nonlinear biological population model; computational and numerical investigations10.1016/j.chaos.2022.112388 ↗
32. Solitary wave solutions of the modified equal width wave equation10.1016/j.cnsns.2006.09.018 ↗
33. Numerical solution of the modified equal width wave equation10.1155/2012/587208 ↗
34. Algorithms for numerical solution of the modified equal width wave equation using collocation method10.1016/j.mcm.2006.09.012 ↗
35. Analyzing modified equal width (MEW) wave equation using the improved element-free Galerkin method10.1016/j.enganabound.2012.03.013 ↗
36. A lumped Galerkin method for the numerical solution of the modified equal-width wave equation using quadratic B-splines10.1080/00207160600909918 ↗