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On the complete integrability and linearization of a Burgers– Korteweg–de Vries-type nonlinear equation

✍ Scribed by M. M. Prytula; A. K. Prykarpats’kyi; M. I. Vovk

Publisher
Springer US
Year
2010
Tongue
English
Weight
120 KB
Volume
167
Category
Article
ISSN
1573-8795

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✍ 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 .