research
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12/28/2021
Deep neural networks for solving forward and inverse problems of (2+1)-dimensional nonlinear wave equations with rational solitons
In this paper, we investigate the forward problems on the data-driven ra...
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11/18/2021
Data-driven discovery of Bäcklund transforms and soliton evolution equations via deep neural network learning schemes
We introduce a deep neural network learning scheme to learn the Bäcklund...
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04/30/2021
Deep learning neural networks for the third-order nonlinear Schrodinger equation: Solitons, breathers, and rogue waves
The third-order nonlinear Schrodinger equation (alias the Hirota equatio...
research
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01/12/2021
Data-driven peakon and periodic peakon travelling wave solutions of some nonlinear dispersive equations via deep learning
In the field of mathematical physics, there exist many physically intere...
research
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12/18/2020