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Large Time Asymptotics of Solutions Around Solitary Waves to the Generalized Korteweg--de Vries Equations

โœ Scribed by Mizumachi, Tetsu


Book ID
118199500
Publisher
Society for Industrial and Applied Mathematics
Year
2001
Tongue
English
Weight
318 KB
Volume
32
Category
Article
ISSN
0036-1410

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๐Ÿ“œ SIMILAR VOLUMES


Large Time Asymptotics of Solutions to t
โœ Nakao Hayashi; Pavel I. Naumkin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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