
Accession Number : ADA191893
Title : SelfTrapped States in a Saturable KleinGordon 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 selftrapped states in the lossless, saturably nonlinear KleinGordon equation u sub tt  u sub xx = u/(1 + u squared). A simple approximate analytic theory is developed which agrees well with selftrapped states found in simulations to emerge from certain types of localized, stationary, onesided displacements, u(x, O) or = O, u sub t(x, O) = O. The stability of these states to strong perturbations is studied by pulsecollision simulations, using for the perturbation one of the two travellingwave pulses generated in the fast dissociation of a highly unstable initial displacement. The selftrapped 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