publications

2025

1. 

   Data-driven Soliton Manifold Approximations for Dark and Bright Waves: Some Prototypical 1D Case Examples

   Su Yang, Shaoxuan Chen, Wei Zhu, and Panayotis G. Kevrekidis

   arXiv preprint, 2025

   DOI

2. 

   Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach

   Shaoxuan Chen, Su Yang, Panayotis G. Kevrekidis, and Wei Zhu

   Chaos: An Interdisciplinary Journal of Nonlinear Science, 2025

   DOI

3. 

   Data-driven Discovery of Conservation Laws from Trajectories via Neural Deflation

   Shaoxuan Chen, Panayotis G. Kevrekidis, Hong-Kun Zhang, and Wei Zhu

   Communications in Nonlinear Science and Numerical Simulation, 2025

   Abs DOI

   In an earlier work by a subset of the present authors W. Zhu et al. (2023), the method of the so-called neural deflation was introduced towards identifying a complete set of functionally independent conservation laws of a nonlinear dynamical system. Here, we extend by a significant step this proposal. Instead of using the explicit knowledge of the underlying equations of motion, we develop the method directly from system trajectories. This is crucial towards enhancing the practical implementation of the method in scenarios where solely data reflecting discrete snapshots of the system are available. We showcase the results of the method and the number of associated conservation laws obtained in a diverse range of examples including 1D and 2D harmonic oscillators, the Toda lattice, the Fermi–Pasta–Ulam–Tsingou lattice and the Calogero-Moser system.

4. 

   A Machine Learning-Based Approach to Model Sprinkler Actual Delievered Density

   Dong Han, Shaoxuan Chen, Yogish Gopala, Seth Sienkiewicz, and 2 more authors

   ISFEH, 2025

2024

1. 

   Identification of Moment Equations via Data-driven Approaches in Nonlinear Schrödinger Models

   Su Yang, Shaoxuan Chen, Wei Zhu, and P. G. Kevrekidis

   Frontiers in Photonics, 2024

   Abs DOI

   In this paper, we present a data-driven approach associated with the “Sparse Identification of Nonlinear Dynamics” (SINDy) to capture the evolution behaviors of such moment quantities numerically.

2019

1. 

   Deficits in Bone Geometry in Growth Hormone-Deficient Prepubertal Boys Revealed by High-Resolution Peripheral Quantitative Computed Tomography

   T. G. Baer, S. Agarwal, S. Chen, C. Chiuzan, and 7 more authors

   Hormone Research in Paediatrics, 2019

   Epub 2020 Mar 30. PMID: 32224610; PMCID: PMC7192784

   DOI