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Gaussian Limiting Behavior of the Rescaled Solution to the Linear Korteweg–de Vries Equation with Random Initial Conditions

✍ Scribed by Luisa Beghin; Viktoria P. Knopova; Nikolai N. Leonenko; Enzo Orsingher

Book ID
110374117
Publisher
Springer
Year
2000
Tongue
English
Weight
110 KB
Volume
99
Category
Article
ISSN
0022-4715

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The large-time development of the solution to an initial-value problem for the generalized Korteweg–de Vries equation
✍ J.A. Leach 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 233 KB

In this work we address an initial-value problem for the generalized Korteweg-de Vries equation. The normalized generalized Korteweg-de Vries (gKdV) equation considered is given by where x and τ represent dimensionless distance and time respectively and k (>1) is an odd positive integer. We conside