MOL calculation of the solitons of the cubic Schroedinger equation
Conference
·
OSTI ID:10160864
The cubic Schroedinger equation (CSE) is a complex (in the mathematical sense) nonlinear partial differential equation (PDE) with a known analytical solution. Further, the solution consists of solitons (traveling waveforms that do not change shape with time or position) that are very sharp spatially. Thus the CSE is a stringent test problem for any numerical procedure. We report here the results of a method of lines (MOL) solution using second-derivative, finite-difference approximations for spatial second derivatives that accommodate Dirichlet and Neumann boundary conditions without approximation of the boundary conditions.
- Research Organization:
- Superconducting Super Collider Lab., Dallas, TX (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC35-89ER40486
- OSTI ID:
- 10160864
- Report Number(s):
- SSCL-Preprint--105; CONF-9206185--4; ON: DE92017245
- Country of Publication:
- United States
- Language:
- English
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