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Data-driven solution dynamics and parameters discovery for the weakly nonlocal Schrödinger equation with parabolic law nonlinearity and an external potential via PINNs deep learning

Crossref DOI link: https://doi.org/10.1007/s12596-025-02952-9

Published Online: 2025-12-12

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Lv, Na

An, Wen

Wang, Wenbo

Wu, Zekang

Yuan, Xuegang https://orcid.org/0000-0003-4719-364X
Funding

Funding for this research was provided by:

National Natural Science Foundation of China (11902067)

National Natural Science Foundation of China (12172086)

Liaoning Provincial Department of Education Fundamental Research Project (LJ212512026002)

Fundamental Research Funds for the Central Universities (04442024062)

Fundamental Research Funds for the Central Universities (04442024065)
License Information

Text and Data Mining valid from 2025-12-12

Version of Record valid from 2025-12-12
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Article History

Received: 19 July 2025

Accepted: 6 October 2025

First Online: 12 December 2025

Declarations

:

: The authors declare that they have no conflict of interest.

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