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A boundary value problem associated with the second painlevé transcendent and the Korteweg-de Vries equation

✍ Scribed by S. P. Hastings; J. B. McLeod

Publisher
Springer
Year
1980
Tongue
English
Weight
881 KB
Volume
73
Category
Article
ISSN
0003-9527

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Asymptotics of Solutions to the Boundary
Asymptotics of Solutions to the Boundary-Value Problem for the Korteweg–de Vries–Burgers Equation on a Half-Line
✍ Nakao Hayashi; Elena I. Kaikina; Ilia A. Shishmarev 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 198 KB

We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation, 2 for t → ∞ uniformly with respect to x > 0 where α = 0 1, 0 q t = q/ √ π e -q 2 , 1 q t = 1/2 √ π √ t e -q 2 2q √ t -1 + e -2q √ t .