Exploring fractional-order new coupled Korteweg-de Vries system via improved Adomian decomposition method.

Autor: Muhammad Arshad, Saud Fahad Aldosary, Saba Batool, Irfan Hussain, Naveed Hussain
Jazyk: angličtina
Rok vydání: 2024
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Zdroj: PLoS ONE, Vol 19, Iss 5, p e0303426 (2024)
Druh dokumentu: article
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0303426&type=printable
Popis: This paper aims to extend the applications of the projected fractional improved Adomian Decomposition method (fIADM) to the fractional order new coupled Korteweg-de Vries (cKdV) system. This technique is significantly recognized for its effectiveness in addressing nonlinearities and iteratively handling fractional derivatives. The approximate solutions of the fractional-order new cKdV system are obtained by employing the improved ADM in fractional form. These solutions play a crucial role in designing and optimizing systems in engineering applications where accurate modeling of wave phenomena is essential, including fluid dynamics, plasma physics, nonlinear optics, and other mathematical physics domains. The fractional order new cKdV system, integrating fractional calculus, enhances accuracy in modeling wave interactions compared to the classical cKdV system. Comparison with exact solutions demonstrates the high accuracy and ease of application of the projected method. This proposed technique proves influential in resolving fractional coupled systems encountered in various fields, including engineering and physics. Numerical results obtained using Mathematica software further verify and demonstrate its efficacy.
Databáze: Directory of Open Access Journals
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