𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convergence rate of solutions toward traveling waves for the Cauchy problem of generalized Korteweg–de Vries–Burgers equations

✍ Scribed by Hui Yin; Huijiang Zhao; Lina Zhou

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
629 KB
Volume
71
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the approximation of solutions of the
On the approximation of solutions of the generalized Korteweg–de Vries–Burger's equation
✍ Ohannes Karakashian; William McKinney 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 726 KB

We propose numerical schemes for approximating periodic solutions of the generalized Korteweg-de Vries-Burgers equation. These schemes are based on a Galerkin-finite element formulation for the spatial discretization and use implicit Runge-Kutta (IRK) methods for time stepping. Asymptotically optima

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 📂 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 .

The large-time development of the soluti
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