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

Sevdzhan Hakkaev

Applicationes Mathematicae (2004)

  • Volume: 31, Issue: 3, page 313-320
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Sevdzhan Hakkaev. "Scattering of small solutions of a symmetric regularized-long-wave equation." Applicationes Mathematicae 31.3 (2004): 313-320. <http://eudml.org/doc/279064>.

@article{SevdzhanHakkaev2004,
abstract = {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.},
author = {Sevdzhan Hakkaev},
journal = {Applicationes Mathematicae},
keywords = {decay in time; nonlinear scattering},
language = {eng},
number = {3},
pages = {313-320},
title = {Scattering of small solutions of a symmetric regularized-long-wave equation},
url = {http://eudml.org/doc/279064},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Sevdzhan Hakkaev
TI - Scattering of small solutions of a symmetric regularized-long-wave equation
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 3
SP - 313
EP - 320
AB - 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.
LA - eng
KW - decay in time; nonlinear scattering
UR - http://eudml.org/doc/279064
ER -

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