9 papers
Localized patterns and dispersive structures in two-dimensional Fermi-Pasta-Ulam lattices
Su Yang, Wenrong Sun
In this paper, we study an analog of the scalar two-dimensional Fermi-Pasta-Ulam (FPU) lattice. In particular, a variety of dispersive wave structures and localized patterns are nu…
On the quasi-continuum approximation of some localized patterns in the FPUT lattice
Su Yang, Wenrong Sun, Lei Liu +1
In the present work, we present a number of localized wave patterns that are theoretically analyzed and numerically illustrated to be observable within the widely applicable paradi…
On the Riemann problem for the Adlam-Allen model
Su Yang, Marco Calabrese, Vassilis Koukouloyannis +1
In the present work, we revisit the Adlam-Allen (AA) model in order to investigate its numerically observed rarefaction and dispersive shock waves that arise in numerical simulatio…
Data-driven Soliton Manifold Approximations for Dark and Bright Waves: Some Prototypical 1d Case Examples
Su Yang, Shaoxuan Chen, Wei Zhu +1
In this paper, we revisit the investigation of solitary-wave interactions in the nonlinear Schrödinger model, both in the presence and absence of a parabolic trapping potential. Wh…
Quasi-continuum approximations for nonlinear dispersive waves in general discrete conservation laws
Su Yang
In this paper, we study a non-integrable discrete lattice model which is a variant of an integrable discretization of the standard Hopf equation. Interestingly, a direct numerical…
First-order continuum models for nonlinear dispersive waves in the granular crystal lattice
Su Yang, Gino Biondini, Christopher Chong +1
We derive and analyze, analytically and numerically, two first-order continuum models to approximate the nonlinear dynamics of granular crystal lattices, focusing specifically on s…
Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach
Shaoxuan Chen, Su Yang, Panayotis G. Kevrekidis +1
We propose a data-driven framework for learning reduced-order moment dynamics from PDE-governed systems using Neural ODEs. In contrast to derivative-based methods like SINDy, which…
A regularized continuum model for traveling waves and dispersive shocks of the granular chain
Su Yang, Gino Biondini, Christopher Chong +1
In this paper we focus on a discrete physical model describing granular crystals, whose equations of motion can be described by a system of differential difference equations (DDEs)…
Identification of moment equations via data-driven approaches in nonlinear schrodinger models
Su Yang, Shaoxuan Chen, Wei Zhu +1
The moment quantities associated with the nonlinear Schrodinger equation offer important insights towards the evolution dynamics of such dispersive wave partial differential equati…