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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
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
Citation:
Bjorn K. Berntson, “Special Solutions of Bi-Riccati Delay-Differential Equations”, SIGMA, 14 (2018), 020, 9 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1319 https://www.mathnet.ru/eng/sigma/v14/p20
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Abstract page: | 159 | Full-text PDF : | 36 | References: | 30 |
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