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Applicable Analysis
An International Journal
Volume 83, 2004 - Issue 8
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Original Articles

Application of connection formula on eliminating plausible asymptotic representation of the painlevé transcendents

Pages 853-864 | Received 03 Jan 2002, Accepted 02 Sep 2004, Published online: 20 Aug 2006

References

  • McLeod JB Wang CB General Asymptotics for the PainlevéIII Transcendent personal communication
  • Clarkson PA McLeod JB 1990 Integral Equations and Connection Formulae for the Painlevé Equations NATO ASI Series, Series B: Physics 278 pp. 1–31
  • Lu Youmin Shao Zhoude An asymptotic representation of the general fourth Painlevé transcendent Mathematical Analysis and Applications (submitted)
  • Kitaev , AV . 1985 . Self-similar solutions of the modified non-linear Schrödinger equation . Maticheskaya Fizika , 64 ( 3 ) : 347 – 369 .
  • Bassom , AP , Clarkson , PA , Law , CK and McLeod , JB . 1998 . Application of uniform asymptotics to the second Painlevé transcendent . Arch. Rat. Mech. Anal. , 143 : 241 – 271 .
  • Fokas , AS , Mugan , U and Ablowitz , MJ . 1988 . A method of linearization for Painlevé equations: Painlevé IV, V . Physica D , 30 : 247 – 283 .
  • Its AR Novokshenov VY The isomonodromic deformation method in the theory of Painlevé equations In: A. Dold and B. Eckmann (Eds.) Lect. Notes Math. p. 1191 Springer Berlin

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