𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

✍ Scribed by V. S. Buslaev; V. V. Sukhanov

Publisher
Springer US
Year
1986
Tongue
English
Weight
915 KB
Volume
34
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Large Time Asymptotics of Solutions to t
Large Time Asymptotics of Solutions to the Generalized Korteweg–de Vries Equation
✍ Nakao Hayashi; Pavel I. Naumkin πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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 behaviour of solutions of the
Asymptotic behaviour of solutions of the Korteweg-de Vries equation
✍ G. Scharf; W.F. Wreszinski πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 966 KB

A rigorous proof that any solution of the Kortewegde Vries equation with smooth initial data decaying sufliciently fast at infinity tends as t --$ kcci to a pure N-soliton solution at a spatially uniform rate of 1 II-'E is provided. It is also proved that the solitonless solutions have a spatially u