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Explicit Complex-Valued Solutions of the Korteweg–de Vries Equation on the Half-Line and on the Whole-Line

✍ Scribed by Pham Loi Vu


Book ID
110229395
Publisher
Springer Netherlands
Year
1997
Tongue
English
Weight
414 KB
Volume
49
Category
Article
ISSN
0167-8019

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Asymptotics of Solutions to the Boundary
✍ 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 .