On nonlinear Schrödinger problem with amplification process
In this paper we consider the nonlinear Schrödinger problem with amplification process. We define a new unknown function and derive a nonlinear equation for this function. Theoretical analysis of a symmetrical finite difference scheme is given and the convergence is proved.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2000-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/35172 |
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| Summary: | In this paper we consider the nonlinear Schrödinger problem with amplification process. We define a new unknown function and derive a nonlinear equation for this function. Theoretical analysis of a symmetrical finite difference scheme is given and the convergence is proved.
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| ISSN: | 0132-2818 2335-898X |