Special Solutions of Bi-Riccati Delay-Differential Equations
Special Solutions of Bi-Riccati Delay-Differential Equations
复制标题
Bi-Riccati时滞微分方程的特解
DOI：
10.3842/sigma.2018.020
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发表时间：
2017
影响因子：
0.9
通讯作者：
B. Berntson
中科院分区：
文献类型：
--
作者：
B. Berntson
时滞微分方程是一种泛函微分方程，它涉及到关于一个独立变量的位移和导数。这类中的一些可积性候选者已经通过各种方法被识别出来。对于其中的三个方程，我们考虑它们的椭圆型和孤子型解。利用Hirota的双线性方法，我们发现我们的两个方程具有三孤子型解。
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.