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Research PapersNo Access

THE RATIONAL SOLUTIONS TO A GENERALIZED RICCATI EQUATION AND THEIR APPLICATION

School of Science, Lishui University, Lishui 323000, P. R. China

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School of Science, Lishui University, Lishui 323000, P. R. China

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School of Communication and Information Engineering, Shanghai University, Shanghai 200072, P. R. China

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https://doi.org/10.1142/S0217979213500136Cited by:5 (Source: Crossref)

Abstract

Based on the rational solutions to a generalized Riccati equation, a new method which is called as rational function method is proposed. We apply this method to solve the coupled mKdV equations and derive a set of rational solutions. This method is also available for seeking their solutions to other NLPDEs. It shows that the rational function method is more universal and powerful than the auxiliary Riccati equation method.

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Vol. 27, No. 05

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History

Accepted 24 April 2009

Published: 28 December 2012

Keywords