Korteweg–de Vries equation and energy sharing in Fermi–Pasta–Ulam

DOI10.1063/1.1832772zbMath1080.37073OpenAlexW2006924940WikidataQ42653758 ScholiaQ42653758MaRDI QIDQ5705486

Dario Bambusi, Antonio Ponno

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1832772

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lattice dynamics; integrable lattice equations (37K60)

Related Items (22)

Resonant normal form for even periodic FPU chains ⋮ COMPUTATIONAL STUDY OF THE TRANSMISSION OF ENERGY IN A TWO-DIMENSIONAL LATTICE WITH NEAREST-NEIGHBOR INTERACTIONS ⋮ Unnamed Item ⋮ KP-II Approximation for a Scalar Fermi–Pasta–Ulam System on a 2D Square Lattice ⋮ Energy-recurrence breakdown and chaos in disordered Fermi-Pasta-Ulam-Tsingou lattices ⋮ Metastability and dispersive shock waves in the Fermi-Pasta-Ulam system ⋮ Center Manifold Theory in the Context of Infinite One-Dimensional Lattices ⋮ Low-dimensional \(q\)-tori in FPU lattices: dynamics and localization properties ⋮ The Fermi-Pasta-Ulam problem: periodic orbits, normal forms and resonance overlap criteria ⋮ Numerical study on Fermi-Pasta-Ulam-Tsingou problem for 1D shallow-water waves ⋮ Results on normal forms for FPU chains ⋮ The Fermi–Pasta–Ulam problem as a challenge for the foundations of physics ⋮ Time scale for energy equipartition in a two-dimensional FPU model ⋮ On metastability in FPU ⋮ On the Korteweg-de Vries limit for the Fermi-Pasta-Ulam system ⋮ An implicit four-step computational method in the study on the effects of damping in a modified Fermi-Pasta-Ulam medium ⋮ A computational technique with multiple properties of consistency in the study of modified \(\beta \)-Fermi-Pasta-Ulam chains ⋮ Size and formation of a long wavelength mode packet in the FPU oscillator chain at low energy ⋮ Stages of dynamics in the Fermi-Pasta-Ulam system as probed by the first Toda integral ⋮ ON THE GENERATION OF LOCALIZED NONLINEAR MODES IN A LINEAR ARRAY OF ANHARMONIC OSCILLATORS ⋮ Justification of the KP-II approximation in dynamics of two-dimensional FPU systems ⋮ Korteweg–de Vries and Fermi–Pasta–Ulam–Tsingou: asymptotic integrability of quasi unidirectional waves

Cites Work

• Unnamed Item
• Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems
• Hamiltonian long-wave approximations to the water-wave problem
• Quasiperiodic breathers in Hamiltonian lattices with symmetries
• Exponentially long times to equipartition in the thermodynamic limit
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

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