Numerical study on Fermi-Pasta-Ulam-Tsingou problem for 1D shallow-water waves

DOI10.1016/j.wavemoti.2013.07.002OpenAlexW1975511901MaRDI QIDQ1727441

Jinhai Zheng, Xiaozhou Ma, Gang Wang, Yuxiang Ma, Guohai Dong

Publication date: 20 February 2019

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2013.07.002

zbMATH Keywords

Boussinesq equationrecurrencewater waveenergy equipartitionFermi-pasta-Ulam-Tsingou problemsoliton ensemble

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Cites Work

• The Fermi-Pasta-Ulam problem: scaling laws vs. initial conditions
• Stability of bichromatic gravity waves on deep water
• On the problem of energy equipartition for large systems of the Fermi- Pasta-Ulam type: Analytical and numerical estimates
• Long-time behaviour of soliton ensembles. I: Emergence of ensembles.
• Localization of energy in FPU chains
• Exponentially long times to equipartition in the thermodynamic limit
• A variational approach to Boussinesq modelling of fully nonlinear water waves
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Steepness effect on modulation instability of the nonlinear wave train
• The evolution of resonant water-wave oscillations
• Three-dimensional instability of standing waves
• Soliton Creation and Destruction, Resonant Interactions, and Inelastic Collisions in Shallow Water Waves
• A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
• Weak and strong chaos in Fermi–Pasta–Ulam models and beyond
• Korteweg–de Vries equation and energy sharing in Fermi–Pasta–Ulam
• Solitary water wave interactions
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