Solitary waves in FPU-type lattices
From MaRDI portal
Publication:2140100
DOI10.1016/j.physd.2022.133252OpenAlexW4220796540MaRDI QIDQ2140100
Publication date: 20 May 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2022.133252
Related Items (4)
KP-II Approximation for a Scalar Fermi–Pasta–Ulam System on a 2D Square Lattice ⋮ Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples ⋮ Long-time approximations of small-amplitude, long-wavelength FPUT solutions ⋮ Justification of the KP-II approximation in dynamics of two-dimensional FPU systems
Cites Work
- The symmetries of solitons
- Approximations to solitary waves on lattices, III: the monatomic lattice with second-neighbour interactions
- Solitary waves on Fermi–Pasta–Ulam lattices: III. Howland-type Floquet theory
- Solitary waves on Fermi–Pasta–Ulam lattices: IV. Proof of stability at low energy
- Soliton dynamics in a 2D lattice model with nonlinear interactions
- Solitary waves on a two-dimensional lattice
- Travelling waves in the Fermi-Pasta-Ulam lattice
- Method for Solving the Korteweg-deVries Equation
- Moving embedded solitons
- An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices
- On the solitary wave pulse in a chain of beads
- A normal form for nonlinear resonance of embedded solitons
- Approximations to solitary waves on lattices. II. quasi-continuum methods for fast and slow waves
- Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
- Multiscale correction to solitary wave solutions on FPU lattices
- A Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam Model Near the KdV Limit
- Supersonic kinks and solitons in active solids
- Mass‐in‐mass lattices with small internal resonators
- Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction
- Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains
- Nanopteron-stegoton traveling waves in spring dimer Fermi-Pasta-Ulam-Tsingou lattices
- Justification of the log--KdV Equation in Granular Chains: The Case of Precompression
- Solitons on two-dimensional anharmonic square lattices
- The β Fermi-Pasta-Ulam-Tsingou recurrence problem
- Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains
- Approximation of Polyatomic FPU Lattices by KdV Equations
- Traveling waves and their tails in locally resonant granular systems
- Study of Several Lattice Systems with Long-Range Forces
- Gaussian solitary waves and compactons in Fermi–Pasta–Ulam lattices with Hertzian potentials
- Kinetics of Martensitic Phase Transitions: Lattice model
- Micro–macro transition in the atomic chain via Whitham's modulation equation
- Integrals of nonlinear equations of evolution and solitary waves
- Computation of Mixed Type Functional Differential Boundary Value Problems
- Traveling fronts in dissipative granular chains and nonlinear lattices
- Nonlinear interactions of solitary waves in a 2D lattice.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Traveling waves for the mass in mass model of granular chains
- Rigorous description of macroscopic wave packets in infinite periodic chains of coupled oscillators by modulation equations
- High-energy waves in superpolynomial FPU-type chains
- Long-time stability of small FPU solitary waves
- Improved models of dense anharmonic lattices
- Traveling waves in Fermi-Pasta-Ulam lattices with saturable nonlinearities
- Asymptotic stability of the Toda \(m\)-soliton
- Moving discrete breathers in nonlinear lattice: resonance and stability
- Atomic-scale localization of high-energy solitary waves on lattices
- On the existence of solitary traveling waves for generalized Hertzian chains
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
- Soliton experiments in transmission lines.
- Asymptotic stability of lattice solitons in the energy space
- Solitary waves for nonconvex FPU lattices
- KdV waves in atomic chains with nonlocal interactions
- Wave propagation in single column woodpile phononic crystals: Formation of tunable band gaps
- A symplectic integration algorithm for separable Hamiltonian functions
- Stability theory of solitary waves in the presence of symmetry. II
- Highly nonlinear solitary waves in heterogeneous periodic granular media
- Asymptotic two-soliton solutions in the Fermi-Pasta-Ulam model
- Soliton resonances in atomic nonlinear systems
- Runge-Kutta schemes for Hamiltonian systems
- Stability theory of solitary waves in the presence of symmetry. I
- A family of embedded Runge-Kutta formulae
- Approximations of solitary waves on lattices using weak and variational formulations
- Theory of nonlinear lattices.
- Nonlinear coherent structures in physics and biology. Proceedings of the 7th interdisciplinary workshop, held at Dijon, France, 4-6 June, 1991
- Solitons on lattices
- Existence theorem for solitary waves on lattices
- Solitary waves with damped oscillatory tails: An analysis of the fifth- order Korteweg-de Vries equation
- Solitary waves with prescribed speed on infinite lattices
- Blowup of solutions for the bad Boussinesq-type equation.
- A new barrier to the existence of moving kinks in Frenkel-Kontorova lattices
- Thermo-elastic aspects of dynamic nucleation
- KdV-like solitary waves in two-dimensional FPU-lattices
- Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices with small mass-ratio
- Wave propagation in a strongly nonlinear locally resonant granular crystal
- Travelling waves in FPU lattices
- The origin of nucleation peak in transformational plasticity
- On the Toda shock problem
- Mobility and reactivity of discrete breathers
- Geometric solitary waves in a 2D mass-spring lattice
- Hamiltonian dynamics of dense chains and lattices: or how to correct the continuum
- Asymptotic stability of \(N\)-solitary waves of the FPU lattices
- Spectral and dynamical stability of nonlinear waves
- Effect of non-local interactions on soliton dynamics in anharmonic chains: Scale competition
- Bound states of lattice solitons and their bifurcations
- Solitons in atomic chains with long-range interactions
- Existence criterion of solitary waves in a chain of grains
- Localization state of hard core chain and cyclotomic polynomial: hard core limit of diatomic Toda lattice
- Reformulation of elasticity theory for discontinuities and long-range forces
- A uniqueness result for a simple superlinear eigenvalue problem
- Solitary waves in mass-in-mass lattices
- Nanoptera in nonlinear woodpile chains with zero precompression
- Solitary waves in a peridynamic elastic solid
- Unstable dynamics of solitary traveling waves in a lattice with long-range interactions
- Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit
- Understanding the FPU state in FPU-like models
- The monoatomic FPU system as a limit of a diatomic FPU system
- Solitary wave propagation in a two-dimensional lattice
- Stability of traveling waves in a driven Frenkel-Kontorova model
- Strictly supersonic solitary waves in lattices with second-neighbor interactions
- Nanoptera and Stokes curves in the 2-periodic Fermi-Pasta-Ulam-Tsingou equation
- Solitary waves in atomic chains and peridynamical media
- Asymptotic approximations to travelling waves in the diatomic Fermi-pasta-Ulam lattice
- Traveling waves in Fermi-Pasta-Ulam chains with nonlocal interaction
- Existence of solitary waves in one dimensional peridynamics
- Traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators
- Action minimising fronts in general FPU-type chains
- Metastability and dispersive shock waves in the Fermi-Pasta-Ulam system
- The Fermi-Pasta-Ulam problem. A status report
- Numerical experiments on the modulation theory for the nonlinear atomic chain
- Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems
- Transition waves in bistable structures. II: Analytical solution: wave speed and energy dissipation
- Korteweg-de Vries equation: a completely integrable Hamiltonian system
- Soliton-Like Solution of an Extended NLS Equation Existing in Resonance with Linear Dispersive Waves
- Scattering of Lattice Solitons and the Excitation of Impurity Modes
- Non-linear waves in lattices: past, present, future
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- N-Soliton States of the Fermi–Pasta–Ulam Lattices
- Exact Diatomic Fermi--Pasta--Ulam--Tsingou Solitary Waves with Optical Band Ripples at Infinity
- Capillary–gravity waves of solitary type and envelope solitons on deep water
- The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem
- Solitary waves on FPU lattices: II. Linear implies nonlinear stability
- Nanoptera in a Period-2 Toda Chain
- Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains
- On Two-Dimensional Longitudinal Nonlinear Waves in Graphene Lattice
- Exact solitary water waves with capillary ripples at infinity
- Symplectic integration of Hamiltonian systems
- Asymptotic stability of Toda lattice solitons
- Counter-propagating two-soliton solutions in the Fermi–Pasta–Ulam lattice
- Unimodal wavetrains and solitons in convex Fermi–Pasta–Ulam chains
- Envelope solitons with stationary crests
- Existence and modulation of traveling waves in particles chains
This page was built for publication: Solitary waves in FPU-type lattices