Abstract
We present a simple mechanical set-up that, unlike the typical setting wherein the geometric effects induce a weakly non-linear response, induces an essentially nonlinear response in a materially linear system to the effect that even a slight excitation induces an essentially nonlinear response. It supports formation of breathers or travelling waves which are strongly localized in the discrete realm and strictly compact in its continuum representation. We also contrast the presented model with a recently introduced ladder model wherein the nonlinearity due to geometry is weakly nonlinear.
Original language | English |
---|---|
Article number | 102881 |
Journal | Wave Motion |
Volume | 110 |
DOIs | |
State | Published - Mar 2022 |
Keywords
- Compact breathers
- Essentially nonlinear model
- Nonlinear wave equations