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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.
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 -