This paper applies the inverse spectral problem method to integrate the Hirota equation with an additional term and a finite density within the class of periodic infinite-gap functions. The evolution of the spectral data associated with the periodic Dirac operator is investigated. Furthermore, a simple procedure for deriving the infinite Dubrovin system of differential equations is presented. The solvability of the Cauchy problem for the infinite Dubrovin system is established in the class of six-times continuously differentiable periodic infinite-gap functions.
| Mualliflar | G. Mannonov, G. Farkhodova, Z. (Zulfiya) Mamedova |
|---|---|
| Jurnal | Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi |
| Nashriyot | Самарқанд давлат университети |
| ISSN | 2091-5446, 2181-1296 |
| Nashr sanasi | 2026-07-01 |
| Jild | 1 |
| Son | 3 |
| Betlar | 76-82 |
| Til | Ingliz |
| DOI | 10.59251/2181-3973.2025.v1.138.1.3890 |
| Indeksga qo‘shilgan | 2026-09-02 |
DOI: 10.59251/2181-3973.2025.v1.138.1.3890 · Maqolaning asl sahifasi
| APA | G. Mannonov, G. Farkhodova, & Z. (Zulfiya) Mamedova (2026). APPLICATION OF THE INVERSE SPECTRAL PROBLEM TO THE HIROTA EQUATION WITH AN ADDITIONAL TERM AND FINITE DENSITY. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(3), 76-82. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3890 |
|---|---|
| GOST (OAK) | G. Mannonov, G. Farkhodova, Z. (Zulfiya) Mamedova APPLICATION OF THE INVERSE SPECTRAL PROBLEM TO THE HIROTA EQUATION WITH AN ADDITIONAL TERM AND FINITE DENSITY // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2026. – T. 1, № 3. – P. 76-82. – DOI: 10.59251/2181-3973.2025.v1.138.1.3890. |
| MLA | G. Mannonov, G. Farkhodova, and Z. (Zulfiya) Mamedova. “APPLICATION OF THE INVERSE SPECTRAL PROBLEM TO THE HIROTA EQUATION WITH AN ADDITIONAL TERM AND FINITE DENSITY.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(3), 76-82, 2026. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3890 |
| Chicago | G. Mannonov, G. Farkhodova, and Z. (Zulfiya) Mamedova. “APPLICATION OF THE INVERSE SPECTRAL PROBLEM TO THE HIROTA EQUATION WITH AN ADDITIONAL TERM AND FINITE DENSITY.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(3), 76-82 (2026). https://doi.org/10.59251/2181-3973.2025.v1.138.1.3890 |
| Harvard | G. Mannonov, G. Farkhodova, and Z. (Zulfiya) Mamedova (2026) ‘APPLICATION OF THE INVERSE SPECTRAL PROBLEM TO THE HIROTA EQUATION WITH AN ADDITIONAL TERM AND FINITE DENSITY’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(3), 76-82. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3890 |
| BibTeX | @article{gmannonov2026,
title = {APPLICATION OF THE INVERSE SPECTRAL PROBLEM TO THE HIROTA EQUATION WITH AN ADDITIONAL TERM AND FINITE DENSITY},
author = {G. Mannonov and G. Farkhodova and Z. (Zulfiya) Mamedova},
journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
year = {2026},
volume = {1},
number = {3},
pages = {76-82},
doi = {10.59251/2181-3973.2025.v1.138.1.3890},
url = {https://doi.org/10.59251/2181-3973.2025.v1.138.1.3890}
} |
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