Original scientific paper

Some notes on projective Riccati equation method

Xinghua Du ; Department of Mathematics, Daqing Petroleum Institute, Daqing 163318, China

Abstract

In this paper, several aspects of projective Riccati equation method are discussed. Firstly, according to the scheme of routine projective Riccati equation method, a united scheme of projective Riccati equation method is proposed, and its mathematical foundation is studied. Secondly, some no-go theorems and positive results are obtained. The limitations of projective Riccati equation method are found. In particular, in the end, we point out that some solutions obtained by the projective Riccati equation method to some equations in a reference are not solutions at all.

Keywords

projective Riccati equation method; elementary integral method; nonlinear differential equation; traveling wave solution

Hrčak ID:

302727

URI

https://hrcak.srce.hr/302727

Publication date:

1.9.2009.

Article data in other languages: croatian

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