Accession Number : ADA191893

Title :   Self-Trapped States in a Saturable Klein-Gordon Equation,

Corporate Author : NAVAL OCEAN SYSTEMS CENTER SAN DIEGO CA

Personal Author(s) : Shockley, Richard C

PDF Url : ADA191893

Report Date : Sep 1986

Pagination or Media Count : 2

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.

Descriptors :   *TRAVELING WAVES, *QUANTUM THEORY, APPROXIMATION(MATHEMATICS), CENTER OF GRAVITY, DISPLACEMENT, DISSOCIATION, ENERGY, LOSSES, NUMERICAL ANALYSIS, PERTURBATIONS, SHAPE, SHIFTING, THEORY, APPROXIMATION(MATHEMATICS), CENTER OF GRAVITY, DISPLACEMENT, DISSOCIATION, ENERGY, LOSSES, NUMERICAL ANALYSIS, PERTURBATIONS, SHAPE, SHIFTING, THEORY

Subject Categories : Quantum Theory and Relativity
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE