Special symmetries to standard Riccati equations and applications
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摘要
By using symmetries associated to Riccati equation in standard form (SRE), we obtain a family which can be integrated by quadratures. As a consequence, we get a new integrability condition for the generalized Riccati equation (GRE). We illustrate the result with some examples and we give some applications in the solitons theory.
论文关键词:Riccati equation,Lie groups,Solitons
论文评审过程:Available online 30 April 2010.
论文官网地址:https://doi.org/10.1016/j.amc.2010.04.039