This article is cited in 5 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.

MSC: 37K10; 34K05; 37K40

Received: May 15, 2017; in final form March 2, 2018; Published online March 9, 2018

Language: English

DOI: 10.3842/SIGMA.2018.020

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