Zhang et al. (2025) Topographic Algebraic Rossby Solitary Waves: A Study Using Physics-Informed Neural Networks

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Identification

• Journal: Atmosphere
• Year: 2025
• Date: 2025-11-17
• Authors: Weiqi Zhang, Quansheng Liu, L. Yue, Ruigang Zhang
• DOI: 10.3390/atmos16111297

Research Groups

Not specified in the provided text.

Short Summary

This study investigates the influence of topography on Rossby solitary waves by deriving and numerically solving the Benjamin–Davis–Ono (BDO) equation using Physics-Informed Neural Networks (PINNs), revealing that topographic variations significantly alter the amplitude of these waves.

Objective

• To explore the influence of topography on Rossby solitary waves by analyzing dynamics in inner and outer regions.
• To derive the Benjamin–Davis–Ono (BDO) equation from shallow-water equations to characterize the amplitude evolution of Rossby algebraic solitary waves.
• To numerically solve the BDO equation using Physics-Informed Neural Networks (PINNs) to simulate Rossby algebraic solitary wave propagation under diverse conditions.

Study Configuration

• Spatial Scale: Geophysical scale, involving inner and outer regions related to topographic features.
• Temporal Scale: Dynamic timescales associated with wave propagation and evolution.

Methodology and Data

• Models used: Shallow-water equations, Benjamin–Davis–Ono (BDO) equation, Physics-Informed Neural Networks (PINNs).
• Data sources: No external data sources; theoretical derivation and numerical simulation.

Main Results

• The Benjamin–Davis–Ono (BDO) equation was successfully derived to characterize the amplitude evolution of Rossby algebraic solitary waves under topographic influence.
• The Physics-Informed Neural Networks (PINNs) method effectively captured the nonlinear behavior and simulated the propagation of Rossby algebraic solitary waves.
• Variations in key parameters significantly alter topographic effects, directly impacting the amplitude of solitary waves.

Contributions

• Derivation of the Benjamin–Davis–Ono (BDO) equation from shallow-water equations to specifically model Rossby algebraic solitary waves under topographic influence.
• Novel application of Physics-Informed Neural Networks (PINNs) for the numerical solution of the BDO equation in the context of Rossby wave dynamics.
• Provides valuable insights into how topographic variations and external conditions influence Rossby wave amplitude, with implications for global warming scenarios.

Funding

Not specified in the provided text.

Citation

@article{Zhang2025Topographic,
  author = {Zhang, Weiqi and Liu, Quansheng and Yue, L. and Zhang, Ruigang},
  title = {Topographic Algebraic Rossby Solitary Waves: A Study Using Physics-Informed Neural Networks},
  journal = {Atmosphere},
  year = {2025},
  doi = {10.3390/atmos16111297},
  url = {https://doi.org/10.3390/atmos16111297}
}