110 citations · 132 across the 4 of their papers we have counts for
4 papers
The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix
Robert J. Buckingham, Peter D. Miller
We study the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational…
The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates
Robert J. Buckingham, Peter D. Miller
We study the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational…
Total integrals of global solutions to Painleve II
Jinho Baik, Robert Buckingham, Jeffery DiFranco +1
We evaluate the total integral from negative infinity to positive infinity of all global solutions to the Painleve II equation on the real line. The method is based on the interpla…
Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function
Jinho Baik, Robert Buckingham, Jeffery DiFranco
The Tracy-Widom distribution functions involve integrals of a Painlevé II function starting from positive infinity. In this paper, we express the Tracy-Widom distribution functions…