The interaction of waves in the Fermi-Pasta-Ulam model

DOI10.1016/J.CNSNS.2020.105436zbMath1477.35072OpenAlexW3038246443MaRDI QIDQ2213886

Yanyan Li

Publication date: 3 December 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105436

zbMATH Keywords

nonlinear dynamicsnormal formasymptotic presentation

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Nonlinear higher-order PDEs (35G20) Normal forms for dynamical systems (37G05)

Related Items (1)

Construction of families of equations to describe irregular solutions in the Fermi-Pasta-Ulam problem

Cites Work

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• Multistability in nonlinear parabolic systems with low diffusion
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• From the Fermi-Pasta-Ulam model to higher-order nonlinear evolution equations
• Quasi-normal forms of two-component singularly perturbed systems
• Packets of resonant modes in the Fermi-Pasta-Ulam system
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• NORMALIZATION IN THE SYSTEMS WITH SMALL DIFFUSION
• Method for Solving the Korteweg-deVries Equation
• Asymptotics of rapidly oscillating solutions of the generalized Korteweg– de Vries–Burgers equation

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