Skip to main content
padlock icon - secure page this page is secure

The Painlevé Connection Problem: An Asymptotic Approach. I

Buy Article:

$59.00 + tax (Refund Policy)

The connection problem for the first and second Painlevé equations is the problem of relating the asymptotic behavior of a solution on a path of approach to infinity (in the complex plane of the independent variable) to those along another such path. A direct natural asymptotic method of solving this problem is described in detail in this paper. In particular, a uniformly valid description of the general (two‐complex‐parameter) asymptotic behaviors—given to leading order by elliptic functions—is derived by a generalization of the multiple‐scales method.
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Document Type: Research Article

Publication date: May 1, 1992

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more