Solutions of Nonlinear Differential and Difference Equations with Superposition Formulas

被引：0
|
作者：
Alexander Turbiner
Pavel Winternitz
机构：
[1] Instituto de Ciencias Nucleares,Centre de recherches mathématiques
[2] UNAM,undefined
[3] Université de Montréal,undefined
来源：
Letters in Mathematical Physics | 1999年 / 50卷
关键词：
matrix Riccati equation; discretization; nonlinear superposition; Lie theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Matrix Riccati equations and other nonlinear ordinary differential equations with superposition formulas are, in the case of constant coefficients, shown to have the same exact solutions as their group theoretical discretizations. Explicit solutions of certain classes of scalar and matrix Riccati equations are presented as an illustration of the general results.
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页码：189 / 201
页数：12
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