Self-Trapped States in a Saturable Klein-Gordon Equation,
Abstract
This document presents numerical and theoretical results for self-trapped states in the lossless, saturably nonlinear Klein-Gordon equation u sub tt - u sub xx = -u/(1 + u squared). A simple approximate analytic theory is developed which agrees well with self-trapped states found in simulations to emerge from certain types of localized, stationary, one-sided displacements, u(x, O) > or = O, u sub t(x, O) = O. The stability of these states to strong perturbations is studied by pulse-collision simulations, using for the perturbation one of the two travelling-wave pulses generated in the fast dissociation of a highly unstable initial displacement. The self-trapped states are highly stable exhibiting a shape change and centroid shift after collision, but little energy loss or change of period.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1986
- Accession Number
- ADA191893
Entities
People
- Richard C. Shockley