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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 3, Pages 79–90 (Mi ivm9341)  
This article is cited in 16 scientific papers (total in 16 papers)

On integration of Korteweg–de Vries equation in a class of rapidly decreasing complex-valued functions

A. B. Khasanova, U. A. Khoitmetovb

a Urgench State University, 14 Alimdzhana str., Urgench, 220100 Republic of Uzbekistan
b Urgench Branch of Tashkent University of Informational Technologies, 110 Al-Khorezmi str., Urgench, 220100 Republic of Uzbekistan
Full-text PDF (225 kB) Citations (16)
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Abstract: We apply the inverse scattering method to the integration of the Korteweg-de Vries equation with self-consistent source in the class of complex-valued rapidly decreasing functions.
Keywords: Korteweg-de Vries equation, Sturm–Liouville operator, Jost solutions, inverse scattering problem, Gelfand–Levitan–Marchenko integral equation.
Received: 12.12.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 3, Pages 68–78
DOI: https://doi.org/10.3103/S1066369X1803009X
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. B. Khasanov, U. A. Khoitmetov, “On integration of Korteweg–de Vries equation in a class of rapidly decreasing complex-valued functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 3, 79–90; Russian Math. (Iz. VUZ), 62:3 (2018), 68–78
Citation in format AMSBIB
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    • This publication is cited in the following 16 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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