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The existence of unbounded solutions of the korteweg-de vries equation

✍ Scribed by A. Menikoff

Publisher
John Wiley and Sons
Year
1972
Tongue
English
Weight
730 KB
Volume
25
Category
Article
ISSN
0010-3640

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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