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Large time asymptotics for solutions to a nonhomogeneous Burgers equation

✍ Scribed by S. R. Chidella; M. K. Yadav


Publisher
Springer
Year
2010
Tongue
English
Weight
158 KB
Volume
31
Category
Article
ISSN
0253-4827

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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