| Title |
Finite difference solution methods for a system of the nonlinear Schrödinger equations |
| Translation of Title |
Netiesinės Šriodingerio lygties baigtinių skirtumų sprendimo metodų palyginimas. |
| Authors |
Kurtinaitis, Andrius ; Ivanauskas, Feliksas |
| DOI |
10.15388/NA.2004.9.3.15156 |
| Full Text |
|
| Is Part of |
Nonlinear analysis: modelling and control.. Vilnius : Vilniaus universiteto leidykla. 2004, vol. 9, no. 3, p. 247-258.. ISSN 1392-5113. eISSN 2335-8963 |
| Keywords [eng] |
finite differences ; comparison scheme ; numerical simulation ; equation, nonlinear Schrödinger ; generation, harmonics, second |
| Abstract [eng] |
This paper investigates finite difference schemes for solving a system of the nonlinear Schrödinger (NLS) equations. Several types of schemes, including explicit, Hopscotch-type and Crank-Nicholson-type are defined. Cubic spline interpolation is used for solving time-shifting part of equations. The numerical results of the different solution methods are compared using two analytical invariant properties. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
English |
| Publication date |
2004 |
| CC license |
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