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
Publication date:
1.9.2009.
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