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math.CA2016
Real solutions of the first Painlevé equation with large initial data
Wen-Gao Long, Yu-Tian Li, Sai-Yu Liu +1
We consider three special cases of the initial value problem of the first Painlevé equation (PI). Our approach is based on the method of uniform asymptotics introduced by Bassom, C…
math.CA2016★ 5 cited
A note on the connection problem of some special Painlevé V functions
Wen-Gao Long, Zhao-Yun Zeng, Jian-Rong Zhou
As a new application of the method of "uniform asymptotics" proposed by Bassom, Clarkson, Law and McLeod, we provide a simpler and more rigorous proof of the connection formulas of…