Nanopteron solutions of diatomic Fermi–Pasta–Ulam–Tsingou lattices with small mass-ratio
Sign Up to like & getrecommendations! Published in 2017 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2017.07.004
Abstract: Abstract Consider an infinite chain of masses, each connected to its nearest neighbors by a (nonlinear) spring. This is a Fermi–Pasta–Ulam–Tsingou lattice. We prove the existence of traveling waves in the setting where the masses… read more here.
Keywords: mass ratio; pasta ulam; fermi pasta; ulam tsingou ... See more keywords
Experimental realization of Fermi-Pasta-Ulam-Tsingou recurrence in a long-haul optical fiber transmission system
Sign Up to like & getrecommendations! Published in 2019 at "Scientific Reports"
DOI: 10.1038/s41598-019-54825-4
Abstract: The integrable nonlinear Schrödinger equation (NLSE) is a fundamental model of nonlinear science which also has important consequences in engineering. The powerful framework of the periodic inverse scattering transform (IST) provides a description of the… read more here.
Keywords: pasta ulam; recurrence; fermi pasta; ulam tsingou ... See more keywords
The β Fermi-Pasta-Ulam-Tsingou recurrence problem.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5122972
Abstract: We perform a thorough investigation of the first Fermi-Pasta-Ulam-Tsingou (FPUT) recurrence in the β-FPUT chain for both positive and negative β. We show numerically that the rescaled FPUT recurrence time Tr=tr/(N+1)3 depends, for large N,… read more here.
Keywords: positive negative; pasta ulam; recurrence; fermi pasta ... See more keywords
Chaos and Anderson localization in disordered classical chains: Hertzian versus Fermi-Pasta-Ulam-Tsingou models.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.032211
Abstract: We numerically investigate the dynamics of strongly disordered 1D lattices under single-particle displacements, using both the Hertzian model, describing a granular chain, and the α+β Fermi-Pasta-Ulam-Tsingou model (FPUT). The most profound difference between the two… read more here.
Keywords: chain; ulam tsingou; pasta ulam; anderson localization ... See more keywords
Vortex revivals and Fermi-Pasta-Ulam-Tsingou recurrence.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.062211
Abstract: We study the self-trapped vortex-ring eigenstates of the two-dimensional Schrödinger equation with focusing Poisson and cubic nonlinearities. For each value of the topological charge l, there is a family of solutions depending on a parameter… read more here.
Keywords: recurrence; ulam tsingou; pasta ulam; fermi pasta ... See more keywords