Jumaniyozova, Khayriniso (2023) INVERSE SCATTERING TRANSFORM FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH SELF-CONSISTENT SOURCE. Journal of Science-Innovative Research in Uzbekistan; Vol. 1 No. 6 (2023): Journal of Science-Innovative Research in Uzbekistan; 285-296.
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Abstract
The theory of inverse scattering is studied to solve the initial-value problem for the nonlinear Schrodinger equation with a self-consistent source and the finite density type initial data. In direct scattering problem, we establish the Jost eigenfunctions, scattering data and their analyticity and symmetry. Moreover, the asymptotic behavior of the Jost functions of the Dirac’s type operator and scattering data are analyzed needed in inverse problem
| Item Type: | Article |
|---|---|
| Additional Information: | Imported from Journal of Science-Innovative Research in Uzbekistan |
| SWORD Depositor: | Admin User |
| Depositing User: | Admin User |
| Date Deposited: | 23 Sep 2026 22:41 |
| Last Modified: | 23 Sep 2026 22:41 |
| URI: | https://universalpublishings.uz/id/eprint/5729 |
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