Physics Informed by Deep Learning: Numerical Solutions of Modified Korteweg-de Vries Equation

In this paper, with the aid of symbolic computation system Python and based on the deep neural network (DNN), automatic differentiation (AD), and limited-memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) optimization algorithms, we discussed the modified Korteweg-de Vries (mkdv) equation to obtain nu...

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Bibliographic Details
Main Authors: Yuexing Bai, Temuer Chaolu, Sudao Bilige
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/5569645