Published April 1986
| Version v1
Journal article
Iteration of some discretizations of the nonlinear Schroedinger equation
Creators
- 1. Melbourne Univ., Parkville (Australia). School of Mathematical Sciences
Description
We consider several discretizations of the nonlinear Schroedinger equation which lead naturally to the study of some symmetric difference equations of the form PHIsub(n+1) + PHIsub(n-1) = f(PHIsub(n)). We find a variety of interesting and exotic behaviour from simple closed orbits to intricate patterns of orbits and loops in the (PHIsub(n+1),PHIsub(n)) phase-plane. Some analytical results for a special case are also presented. (orig.)
Additional details
Publishing Information
- Journal Title
- Physica A
- Journal Volume
- 135
- Journal Issue
- 2/3
- Series
- Physica A.
- Journal Page Range
- 551-558
- ISSN
- 0378-4371
- CODEN
- PHYAD
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 17037293
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FINITE DIFFERENCE METHOD; NONLINEAR PROBLEMS; ORBITS; PHASE SPACE; SCHROEDINGER EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; ITERATIVE METHODS; MATHEMATICAL SPACE; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; WAVE EQUATIONS