NLS approximation for a scalar FPUT system on a 2D square lattice with a cubic nonlinearity
DOI10.1016/J.JMAA.2024.128625zbMATH Open1548.35234MaRDI QIDQ6612202
Guido Schneider, Johannes Giannoulis, Bernd Schmidt
Publication date: 30 September 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Perturbations in context of PDEs (35B20) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Rigorous description of macroscopic wave packets in infinite periodic chains of coupled oscillators by modulation equations
- On the Korteweg-de Vries limit for the Fermi-Pasta-Ulam system
- Justification of the KP-II approximation in dynamics of two-dimensional FPU systems
- Dispersive evolution of pulses in oscillator chains with general interaction potentials
- Interaction of modulated pulses in scalar multidimensional nonlinear lattices
- Bounds for the nonlinear Schrödinger approximation of the Fermi–Pasta–Ulam system
- The nonlinear Schrödinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities
- Approximation of Polyatomic FPU Lattices by KdV Equations
- Continuum Descriptions for the Dynamics in Discrete Lattices: Derivation and Justification
- KP-II Approximation for a Scalar Fermi–Pasta–Ulam System on a 2D Square Lattice
This page was built for publication: NLS approximation for a scalar FPUT system on a 2D square lattice with a cubic nonlinearity
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6612202)
