Application of Kolmogorov-Arnold network (KAN) for solitary-Peakon investigation of Lax model

This study utilizes novel Kolmogorov-Arnold Networks to solve the fifth-order KdV-Lax problem, employing both periodic and Peakon solutions. Several soliton solutions, including solitary wave, Peakon forms, are presented using the KANs technique for the Lax problem of fifth order. The novelty of thi...

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Bibliographic Details

Published in:	Case Studies in Thermal Engineering
Main Authors:	Muhammad Wajahat Anjum, Sana Ullah Saqib, Yin-Tzer Shih, Israr Ul Hassan, Adnan, Ines Hilali Jaghdam, Mouloud Aoudia, Lioua Kolsi
Format:	Article
Language:	English
Published:	Elsevier 2025-09-01
Subjects:	Kolmogorov-Arnold networks Intelligent computing Lax equation Periodic and Peakon solutions
Online Access:	http://www.sciencedirect.com/science/article/pii/S2214157X2500797X