Nanoptera and Stokes curves in the 2-periodic Fermi-Pasta-Ulam-Tsingou equation
From MaRDI portal
Publication:2222748
DOI10.1016/j.physd.2019.132239zbMath1453.82045arXiv1905.07092OpenAlexW2982006093WikidataQ126984881 ScholiaQ126984881MaRDI QIDQ2222748
Publication date: 27 January 2021
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.07092
Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Ordinary lattice differential equations (34A33)
Related Items
Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit ⋮ Solitary waves in FPU-type lattices ⋮ Small mass nanopteron traveling waves in mass-in-mass lattices with cubic FPUT potential ⋮ The monoatomic FPU system as a limit of a diatomic FPU system ⋮ Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples ⋮ Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation ⋮ Solitary waves in mass-in-mass lattices ⋮ A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II ⋮ Nanoptera in nonlinear woodpile chains with zero precompression ⋮ Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains ⋮ Nanoptera in higher-order nonlinear Schrödinger equations: effects of discretization
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rigorous description of macroscopic wave packets in infinite periodic chains of coupled oscillators by modulation equations
- Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
- Stokes' phenomenon; smoothing a Victorian discontinuity
- Highly nonlinear solitary waves in heterogeneous periodic granular media
- The devil's invention: Asymptotic, superasymptotic and hyperasymptotic series
- Existence theorem for solitary waves on lattices
- The generation of radiating waves in a singularly-perturbed Korteweg-de Vries equation
- Travelling waves in a chain of coupled nonlinear oscillators
- Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices with small mass-ratio
- Wave propagation in a strongly nonlinear locally resonant granular crystal
- Metastability of solitary waves in diatomic FPUT lattices
- Nonlinear resonances leading to strong pulse attenuation in granular dimer chains
- Asymptotics beyond all orders and Stokes lines in nonlinear differential-difference equations
- Discrete set of kink velocities in Josephson structures: The nonlocal double sine–Gordon model
- Exact Diatomic Fermi--Pasta--Ulam--Tsingou Solitary Waves with Optical Band Ripples at Infinity
- Solitary waves on FPU lattices: II. Linear implies nonlinear stability
- Nanoptera in a Period-2 Toda Chain
- Exact solitary water waves with capillary ripples at infinity
- Discrete Traveling Solitons in the Salerno Model
- A numerical calculation of a weakly non-local solitary wave: the ϕ4breather
- Hyperasymptotics for integrals with saddles
- Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations
- Solitary Waves in Layered Nonlinear Media
- Exponential asymptotic expansions and approximations of the unstable and stable manifolds of singularly perturbed systems with the Hénon map as an example
- Globally Exact Asymptotics for Integrals with Arbitrary Order Saddles
- Hyperasymptotics
- Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit
- Uniform asymptotic smoothing of Stokes’s discontinuities
- Stokes Phenomenon and Matched Asymptotic Expansions
- Generalized solitary waves in a finite‐difference Korteweg‐de Vries equation
- Standing lattice solitons in the discrete NLS equation with saturation
- Approximation of Polyatomic FPU Lattices by KdV Equations
- Traveling waves and their tails in locally resonant granular systems
- Wave Propagation in Diatomic Lattices
- Hyperasymptotics and the Linear Boundary Layer Problem: Why Asymptotic Series Diverge
- Travelling kinks in discrete phi4models
- Localized waves in nonlinear oscillator chains
