Matches in SemOpenAlex for { <https://semopenalex.org/work/W2523064724> ?p ?o ?g. }
- W2523064724 endingPage "165" @default.
- W2523064724 startingPage "87" @default.
- W2523064724 abstract "The characteristic feature of the so-called Painlevé test for integrability of an ordinary (or partial) analytic differential equation, as usually carried out, is to determine whether all its solutions are single-valued by local analysis near individual singular points of solutions. This test, interpreted flexibly, has been quite successful in spite of various evident flaws. We review the Painleve test in detail and then propose a more robust and generally more appropriate definition of integrability: a multivalued function is accepted as an integral if its possible values (at any given point in phase space) are not dense. This definition is illustrated and justified by examples, and a widely applicable method (the poly-Painlevé method) of testing for it is presented, based on asymptotic analysis covering several singularities simultaneously." @default.
- W2523064724 created "2016-09-30" @default.
- W2523064724 creator A5050146610 @default.
- W2523064724 creator A5055771160 @default.
- W2523064724 date "1992-02-01" @default.
- W2523064724 modified "2023-09-26" @default.
- W2523064724 title "The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability" @default.
- W2523064724 cites W101479230 @default.
- W2523064724 cites W1030135468 @default.
- W2523064724 cites W1503086435 @default.
- W2523064724 cites W1512385898 @default.
- W2523064724 cites W1524587811 @default.
- W2523064724 cites W1631607997 @default.
- W2523064724 cites W1663507995 @default.
- W2523064724 cites W1963777795 @default.
- W2523064724 cites W1964697514 @default.
- W2523064724 cites W1964881221 @default.
- W2523064724 cites W1967427183 @default.
- W2523064724 cites W1968030700 @default.
- W2523064724 cites W1968545731 @default.
- W2523064724 cites W1969552299 @default.
- W2523064724 cites W1969956567 @default.
- W2523064724 cites W1970379001 @default.
- W2523064724 cites W1970460750 @default.
- W2523064724 cites W1970621705 @default.
- W2523064724 cites W1971645788 @default.
- W2523064724 cites W1972436572 @default.
- W2523064724 cites W1972630070 @default.
- W2523064724 cites W1973253358 @default.
- W2523064724 cites W1973772089 @default.
- W2523064724 cites W1973823765 @default.
- W2523064724 cites W1975153373 @default.
- W2523064724 cites W1976652648 @default.
- W2523064724 cites W1978205661 @default.
- W2523064724 cites W1978665648 @default.
- W2523064724 cites W1978682980 @default.
- W2523064724 cites W1978855691 @default.
- W2523064724 cites W1978926443 @default.
- W2523064724 cites W1979439114 @default.
- W2523064724 cites W1979722387 @default.
- W2523064724 cites W1979897438 @default.
- W2523064724 cites W1980712730 @default.
- W2523064724 cites W1981989976 @default.
- W2523064724 cites W1982984473 @default.
- W2523064724 cites W1983472143 @default.
- W2523064724 cites W1984838555 @default.
- W2523064724 cites W1985167223 @default.
- W2523064724 cites W1985659033 @default.
- W2523064724 cites W1985753596 @default.
- W2523064724 cites W1986522892 @default.
- W2523064724 cites W1987554657 @default.
- W2523064724 cites W1990106507 @default.
- W2523064724 cites W1990308921 @default.
- W2523064724 cites W1990672927 @default.
- W2523064724 cites W1991106803 @default.
- W2523064724 cites W1991927107 @default.
- W2523064724 cites W1992842006 @default.
- W2523064724 cites W1993082856 @default.
- W2523064724 cites W1993345032 @default.
- W2523064724 cites W1994793973 @default.
- W2523064724 cites W1995751368 @default.
- W2523064724 cites W1997632432 @default.
- W2523064724 cites W1998076228 @default.
- W2523064724 cites W1998690623 @default.
- W2523064724 cites W1998795487 @default.
- W2523064724 cites W1998838984 @default.
- W2523064724 cites W1999078596 @default.
- W2523064724 cites W1999317810 @default.
- W2523064724 cites W2001251240 @default.
- W2523064724 cites W2001544532 @default.
- W2523064724 cites W2002496249 @default.
- W2523064724 cites W2003404223 @default.
- W2523064724 cites W2004260108 @default.
- W2523064724 cites W2005280865 @default.
- W2523064724 cites W2005312772 @default.
- W2523064724 cites W2006664683 @default.
- W2523064724 cites W2009109174 @default.
- W2523064724 cites W2010175124 @default.
- W2523064724 cites W2010278543 @default.
- W2523064724 cites W2015145182 @default.
- W2523064724 cites W2015979260 @default.
- W2523064724 cites W2016096503 @default.
- W2523064724 cites W2019449239 @default.
- W2523064724 cites W2019482552 @default.
- W2523064724 cites W2020218958 @default.
- W2523064724 cites W2020522364 @default.
- W2523064724 cites W2021405881 @default.
- W2523064724 cites W2022443517 @default.
- W2523064724 cites W2023708150 @default.
- W2523064724 cites W2024070341 @default.
- W2523064724 cites W2025705948 @default.
- W2523064724 cites W2026564420 @default.
- W2523064724 cites W2028546490 @default.
- W2523064724 cites W2029164146 @default.
- W2523064724 cites W2030665453 @default.
- W2523064724 cites W2030669316 @default.
- W2523064724 cites W2032418936 @default.
- W2523064724 cites W2032610983 @default.