Hybrid analytical and neural-network approaches to the non-local short pulse equation

Abstract The aim of this study is to examine a non-local short pulse equation and understand how its dynamics differ from those of its classical local counterpart. To achieve this, we introduce a Lax pair and develop a k-fold Darboux transformation, which forms the analytical foundation for construc...

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Bibliographic Details
Main Authors: H. W. A. Riaz, Aamir Farooq
Format: Article
Language:English
Published: SpringerOpen 2025-08-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14634-8
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