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An explicit unconditionally stable numerical method for solving damped nonlinear Schrodinger equations with a focusing nonlinearity

Abstract:

This paper introduces an extension of the time-splitting sine-spectral (TSSP) method for solving damped focusing nonlinear Schrödinger equations (NLSs). The method is explicit, unconditionally stable, and time transversal invariant. Moreover, it preserves the exact decay rate for the normalization of the wave function if linear damping terms are added to the NLS. Extensive numerical tests are presented for cubic focusing NLSs in two dimensions with a linear, cubic, or quintic damping term. Ou...

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Publication status:
Published

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Publisher copy:
10.1137/S0036142902413391
Journal:
SIAM JOURNAL ON NUMERICAL ANALYSIS More from this journal
Volume:
41
Issue:
4
Pages:
1406-1426
Publication date:
2003-01-01
DOI:
EISSN:
1095-7170
ISSN:
0036-1429
Language:
English
Keywords:
Pubs id:
pubs:12402
UUID:
uuid:0b289cca-4429-4415-830f-c06e1d2c789a
Local pid:
pubs:12402
Source identifiers:
12402
Deposit date:
2012-12-19

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