Abstract
Using the method of "uniform asymptotics" proposed by Bassom, Clarkson, Law and McLeod [3], we provide a simpler and more rigorous proof of the connection formulas of the Clarkson-McLeod solution for the fourth Painleve transcendent, which has been established earlier by Its and Kapaev [11] via the isomonodromy and Riemann-Hilbert methods.
| Original language | English |
|---|---|
| Pages (from-to) | 419 - 448 |
| Journal | Analysis and Applications |
| Volume | 7 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2009 |
Research Keywords
- Connection formulas
- uniform asymptotics
- the fourth Painleve transcendent
- Whittaker's functions
- parabolic cylinder functions