Physica D-Nonlinear Phenomena

Papers
(The H4-Index of Physica D-Nonlinear Phenomena is 29. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)
ArticleCitations
Fundamentals of Recurrent Neural Network (RNN) and Long Short-Term Memory (LSTM) network1837
Rayleigh–Taylor and Richtmyer–Meshkov instabilities: A journey through scales138
Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems130
Data-driven approximation of the Koopman generator: Model reduction, system identification, and control125
Accurate closed-form solution of the SIR epidemic model78
Time-series learning of latent-space dynamics for reduced-order model closure68
Inversion of a SIR-based model: A critical analysis about the application to COVID-19 epidemic68
Riemann–Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies64
COVID-19: Development of a robust mathematical model and simulation package with consideration for ageing population and time delay for control action and resusceptibility59
Periodic standing waves in the focusing nonlinear Schrödinger equation: Rogue waves and modulation instability45
Predicting the evolution of the COVID-19 epidemic with the A-SIR model: Lombardy, Italy and São Paulo state, Brazil45
Explicit formulae for the peak time of an epidemic from the SIR model44
Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows42
Rogue wave patterns in the nonlinear Schrödinger equation41
Supervised learning from noisy observations: Combining machine-learning techniques with data assimilation40
A long short-term memory embedding for hybrid uplifted reduced order models38
Riemann–Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions35
Bistability, wave pinning and localisation in natural reaction–diffusion systems35
Size and timescale of epidemics in the SIR framework35
N-double poles solutions for nonlocal Hirota equation with nonzero b35
On the emergence of a power law in the distribution of COVID-19 cases35
Analytic solution of the SEIR epidemic model via asymptotic approximant34
Sasa–Satsuma type matrix integrable hierarchies and their Riemann–Hilbert problems and soliton solutions34
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning32
A Reduced Order Deep Data Assimilation model32
Data-driven predictions of the Lorenz system31
A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise31
Higher-order rogue wave solutions to the Kadomtsev–Petviashvili 1 equation31
The Shannon entropy: An efficient indicator of dynamical stability29
Association between COVID-19 cases and international equity indices29
A simple but complex enough θ-SIR type model to be used with COVID-129
Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits29
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