Learning the Nonlinear Solitary Wave Solution of the Korteweg–De Vries Equation with Novel Neural Network Algorithm

Learning the Nonlinear Solitary Wave Solution of the Korteweg–De Vries Equation with Novel Neural Network Algorithm

The study of wave-like propagation of information in nonlinear and dispersive media is a complex phenomenon. In this paper, we provide a new approach to studying this phenomenon, paying special attention to the nonlinear solitary wave problem of the Korteweg–De Vries (KdV) equation. Our proposed alg...

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Bibliographic Details
Main Authors: Ying Wen, Temuer Chaolu
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Entropy
Subjects:
KdV equation
Lie groups
deep learning
BFGS
partial differential equations
Online Access:https://www.mdpi.com/1099-4300/25/5/704

Internet

https://www.mdpi.com/1099-4300/25/5/704

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