Article ID Journal Published Year Pages File Type
4631760 Applied Mathematics and Computation 2010 8 Pages PDF
Abstract

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.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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Special symmetries to standard Riccati equations and applications
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