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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 020, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.020
(Mi sigma1319)
 

This article is cited in 4 scientific papers (total in 4 papers)

Special Solutions of Bi-Riccati Delay-Differential Equations

Bjorn K. Berntson

Department of Mathematics, University College London, Gower Street, London WC1E 6BT, UK
Full-text PDF (280 kB) Citations (4)
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Abstract: Delay-differential equations are functional differential equations that involve shifts and derivatives with respect to a single independent variable. Some integrability candidates in this class have been identified by various means. For three of these equations we consider their elliptic and soliton-type solutions. Using Hirota's bilinear method, we find that two of our equations possess three-soliton-type solutions.
Keywords: delay-differential equations; elliptic solutions; solitons.
Received: May 15, 2017; in final form March 2, 2018; Published online March 9, 2018
Bibliographic databases:
Document Type: Article
MSC: 37K10; 34K05; 37K40
Language: English
Citation: Bjorn K. Berntson, “Special Solutions of Bi-Riccati Delay-Differential Equations”, SIGMA, 14 (2018), 020, 9 pp.
Citation in format AMSBIB
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
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