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Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation

✍ Scribed by F.M Christ; M.I Weinstein


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
843 KB
Volume
100
Category
Article
ISSN
0022-1236

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πŸ“œ SIMILAR VOLUMES


Large Time Asymptotics of Solutions to t
✍ 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