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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| _version_ | 1825197241747374080 |
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| author | Raimondas Čiegis Genė Kairytė Violeta Pakalnytė |
| author_facet | Raimondas Čiegis Genė Kairytė Violeta Pakalnytė |
| author_sort | Raimondas Čiegis |
| collection | DOAJ |
| description |
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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| format | Article |
| id | doaj-art-5f7e5216de944813b591a6e32792ffff |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2000-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-5f7e5216de944813b591a6e32792ffff2025-02-11T18:14:43ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2000-12-0140spec.10.15388/LMR.2000.35172On nonlinear Schrödinger problem with amplification processRaimondas Čiegis0Genė Kairytė1Violeta Pakalnytė2Vilnius Gediminas Technical UniversityInstitute of Mathematics and InformaticsInstitute of Mathematics and Informatics 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. https://www.zurnalai.vu.lt/LMR/article/view/35172 |
| spellingShingle | Raimondas Čiegis Genė Kairytė Violeta Pakalnytė On nonlinear Schrödinger problem with amplification process Lietuvos Matematikos Rinkinys |
| title | On nonlinear Schrödinger problem with amplification process |
| title_full | On nonlinear Schrödinger problem with amplification process |
| title_fullStr | On nonlinear Schrödinger problem with amplification process |
| title_full_unstemmed | On nonlinear Schrödinger problem with amplification process |
| title_short | On nonlinear Schrödinger problem with amplification process |
| title_sort | on nonlinear schrodinger problem with amplification process |
| url | https://www.zurnalai.vu.lt/LMR/article/view/35172 |
| work_keys_str_mv | AT raimondasciegis onnonlinearschrodingerproblemwithamplificationprocess AT genekairyte onnonlinearschrodingerproblemwithamplificationprocess AT violetapakalnyte onnonlinearschrodingerproblemwithamplificationprocess |