| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7154714 | Communications in Nonlinear Science and Numerical Simulation | 2018 | 18 Pages |
Abstract
We study the dynamics of Fermi-Pasta-Ulam (FPU) chains with both harmonic and anharmonic power-law long-range interactions. We show that the dynamics is described in the continuum limit by a Generalized Fractional Boussinesq differential Equation (GFBE), whose derivation is performed in full detail. We also discuss a version of the model where couplings are alternating in sign.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Gervais Nazaire Beukam Chendjou, Jean Pierre Nguenang, Andrea Trombettoni, Thierry Dauxois, Ramaz Khomeriki, Stefano Ruffo,