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On invariant solutions of the generalised Korteweg-de Vries equation in a variable medium—I

✍ Scribed by O.P. Bhutani; K.Vijay Kumar; Poornima Mital; G. Chandrasekaran

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 671 KB
Volume: 27
Category: Article
ISSN: 0020-7225
DOI: 10.1016/0020-7225(89)90033-5

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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 .