Large Time Asymptotics of Solutions to t
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Nakao Hayashi; Pavel I. Naumkin
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Article
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1998
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Elsevier Science
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English
โ 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