Accession Number:

ADA191893

Title:

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

Descriptive Note:

Corporate Author:

NAVAL OCEAN SYSTEMS CENTER SAN DIEGO CA

Personal Author(s):

• Shockley, Richard C.

Report Date:

1986-09-01

Pagination or Media Count:

2.0

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 -u1 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, ux, O or O, u sub tx, 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