Pseudobreathers in Saturable Klein-Gordon Equations
Abstract
The first objective of the work reported here was to determine, by numerical simulations, whether self localized, nonlinear waves akin to breathers exist for a certain subset of saturable Klein-Gordon (KG) equations. (Terms are explained in Section 1.) Breather like waves do arise in these equations, so the second objective was to study their decay and their interaction in collisions. Saturable KG equations govern diverse physical systems. The simplest example is a taut string subject to an external restoring force transverse to its length at rest. This could be the force of gravity on a string sliding on the wall of a V shaped trough with a rounded, parabolic bottom. The restoring force is proportional to the displacement for small displacements from equilibrium and monotonically approaches a constant value asymptotically, or saturates, for large displacements.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 2022
- Accession Number
- AD1169102
Entities
People
- Richard C. Shockley
Organizations
- Naval Information Warfare Center Pacific