✦ LIBER ✦

Long-Time Asymptotics for the Korteweg–de Vries Equation via Nonlinear Steepest Descent

✍ Scribed by Katrin Grunert; Gerald Teschl

Publisher: Springer Netherlands
Year: 2009
Tongue: English
Weight: 828 KB
Volume: 12
Category: Article
ISSN: 1385-0172
DOI: 10.1007/s11040-009-9062-2

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Asymptotics for the Korteweg–de Vries–Bu

Asymptotics for the Korteweg–de Vries–Burgers Equation

✍ Nakao Hayashi; Pavel I. Naumkin 📂 Article 📅 2006 🏛 Institute of Mathematics, Chinese Academy of Scien 🌐 English ⚖ 269 KB

Large Time Asymptotics of Solutions to t

Large Time Asymptotics of Solutions to the Generalized Korteweg–de Vries Equation

✍ Nakao Hayashi; Pavel I. Naumkin 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 389 KB

We study the asymptotic behavior for large time of solutions to the Cauchy problem for the generalized Korteweg de Vries (gKdV) equation u t + ( |u| \&1 u) x + 1 3 u xxx =0, where x, t # R when the initial data are small enough. If the power \ of the nonlinearity is greater than 3 then the solution

Asymptotic behavior of solutions of the

Asymptotic behavior of solutions of the Korteweg-de Vries equation for large times

✍ V. S. Buslaev; V. V. Sukhanov 📂 Article 📅 1986 🏛 Springer US 🌐 English ⚖ 915 KB

Some asymptotic relations for solutions

Some asymptotic relations for solutions of the Korteweg - De Vries equation

✍ V.I. Karpman 📂 Article 📅 1968 🏛 Elsevier Science 🌐 English ⚖ 134 KB

Asymptotic property for the solution to

Asymptotic property for the solution to the generalized Korteweg-de vries equation

✍ Linghai Zhang 📂 Article 📅 1994 🏛 Institute of Applied Mathematics, Chinese Academy 🌐 English ⚖ 493 KB

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 .