Scattering of small solutions of a symmetric regularized-long-wave equation

• Autorzy: Sevdzhan Hakkaev
• Języki publikacji: EN

Abstrakty

EN

We study the decay in time of solutions of a symmetric regularized-long-wave equation and we show that under some restriction on the form of nonlinearity, the solutions of the nonlinear equation have the same long time behavior as those of the linear equation. This behavior allows us to establish a nonlinear scattering result for small perturbations.

Kategorie tematyczne

• 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction
• 35Q35: PDEs in connection with fluid mechanics
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 3
• Strony: 313-320

Daty

wydano

2004

Twórcy

autor

Sevdzhan Hakkaev

• Faculty of Mathematics and Informatics, Shumen University, 9712 Shumen, Bulgaria

Identyfikatory

DOI

10.4064/am31-3-6