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Study of the mesh method for the Bona-Smith and Burgers-Korteweg-de Vries equations

✍ Scribed by K.Zh. Dauletiyarov

Publisher
Elsevier Science
Year
1984
Weight
725 KB
Volume
24
Category
Article
ISSN
0041-5553

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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 πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 198 KB

We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation, 2 for t β†’ ∞ uniformly with respect to x > 0 where Ξ± = 0 1, 0 q t = q/ √ Ο€ e -q 2 , 1 q t = 1/2 √ Ο€ √ t e -q 2 2q √ t -1 + e -2q √ t .