Influence of cubic nonlinearity on the dispersion relation for long waves on a water surface
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 4, pp. 725-728
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The influence of cubic nonlinearity on the dispersion relation for long waves on a water surface is analyzed. In the long wavelength limit, it is shown that the dispersion relation is not affected by the cubic terms. The results are compared with the dispersion relation for stationary solutions to the Korteweg–de Vries equation.
@article{ZVMMF_2008_48_4_a14,
author = {A. V. Astashenok and A. A. Zaitsev},
title = {Influence of cubic nonlinearity on the dispersion relation for long waves on a~water surface},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {725--728},
publisher = {mathdoc},
volume = {48},
number = {4},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_4_a14/}
}
TY - JOUR AU - A. V. Astashenok AU - A. A. Zaitsev TI - Influence of cubic nonlinearity on the dispersion relation for long waves on a water surface JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2008 SP - 725 EP - 728 VL - 48 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_4_a14/ LA - ru ID - ZVMMF_2008_48_4_a14 ER -
%0 Journal Article %A A. V. Astashenok %A A. A. Zaitsev %T Influence of cubic nonlinearity on the dispersion relation for long waves on a water surface %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2008 %P 725-728 %V 48 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_4_a14/ %G ru %F ZVMMF_2008_48_4_a14
A. V. Astashenok; A. A. Zaitsev. Influence of cubic nonlinearity on the dispersion relation for long waves on a water surface. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 4, pp. 725-728. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_4_a14/