11 papers · 1 filter
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…
Dispersive shock waves in periodic lattices
Su Yang, Sathyanarayanan Chandramouli, Panayotis G. Kevrekidis
We introduce and systematically investigate the generation of dispersive shock waves, which arise naturally in physical settings such as optical waveguide arrays and superfluids co…
Dam breaks in the discrete nonlinear Schrödinger equation
Shrohan Mohapatra, Panayotis G. Kevrekidis, Su Yang +1
In the present work we study the nucleation of Dispersive shock waves (DSW) in the {defocusing}, discrete nonlinear Schr{ö}dinger equation (DNLS), a model of wide relevance to non…
Quasi-continuum descriptions of rarefaction and dispersive shock waves in Fermi-Pasta-Ulam lattices with Hertzian potentials
Su Yang
In the present work, we review two well-established quasi-continuum models of a Fermi-Pasta-Ulam lattice with Hertzian type potentials, and utilize these two models to approximate…
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. W…