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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 10, Pages 73–85
DOI: https://doi.org/10.26907/0021-3446-2020-10-73-85 (Mi ivm9620) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Integration of mKdV equation with a self-consistent source in the class of finite density functions in the case of moving eigenvalues

K. A. Mamedov

Urgench branch of Tashkent University of Information Technologies named after Muhammad al-Kwarizmi, 110 al-Kwarizmi str., Urgench, 220100 Republic of Uzbekistan
Full-text PDF (370 kB) Citations (8)
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DOI: https://doi.org/10.26907/0021-3446-2020-10-73-85
Abstract: In this paper, the possibility of using the inverse scattering problem method to integrate the mKdV equation with a self-consistent source in the class of finite density functions in the case of moving simple eigenvalues of the corresponding spectral problem is shown.
Keywords: inverse scattering problem method, modified Korteweg-de Vries equation (mKdV), Dirac operator, Jost solution, eigenvalue, eigenfunction, scattering data, class of functions having finite density.
Received: 23.11.2019
Revised: 23.11.2019
Accepted: 25.03.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 10, Pages 66–78
DOI: https://doi.org/10.3103/S1066369X20100072
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: K. A. Mamedov, “Integration of mKdV equation with a self-consistent source in the class of finite density functions in the case of moving eigenvalues”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 10, 73–85; Russian Math. (Iz. VUZ), 64:10 (2020), 66–78
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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