2000 character limit reached
Special Solutions of Bi-Riccati Delay-Differential Equations (1710.06091v2)
Published 17 Oct 2017 in nlin.SI, math.CA, and math.DS
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.