101
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

The power expansions of the solutions of the first painlevé hierarchy

&
Pages 389-399 | Received 18 Oct 2005, Published online: 14 Oct 2010

References

  • Bruno , A.D. 1998 . Power geometry in algebraic and differential equations , Moscow : Phys. Math. Lit. . (in Russian)
  • Bruno , A.D. 2000 . Power expansions of the solutions of a single algebraic or differential equation . Preprints of the Institute of Applied Mathematics, Moscow , 63 : 1 – 20 .
  • Bruno , A.D. and Kudryashov , N.A. 2005 . Power expansions of solutions to an analogy to the first Painleve equation . Preprints of the Institute of Applied Mathematics, Moscow , 17 : 1 – 26 .
  • Gromak , V. , Laine , I. and Shimomura , S. 2002 . Painleve differential equations in the complex plane , Berlin‐New‐York : Walter De Gruyter .
  • Joshi , N. and Kitaev , A.V. 2001 . On Boutroux's tritronuee solutions of the first Painleve equation . Stud. Appl. Math. , 107 : 253 – 291 .
  • Kudryashov , N. A. 1997 . The first and second Painlevé equations of higher order and some relations between them . Phys. Lett. , A (224) : 353 – 360 .
  • Painlevé , P. 1900 . Memoire sur les equations differentieies dont l'integrale generale est uniforme . Bull. Soc. Math. Phys, France , 28 : 201 – 261 .
  • Wasow , W.R. 1965 . Asymptotic expansions for ordinary differential equations , New York‐London‐Sydney : John Wiley and Sons .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.