Coupled nonlinear Schr\"odinger equations for interfacial fluids with a~free surface
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 3, pp. 326-335
Voir la notice de l'article provenant de la source Math-Net.Ru
For interfacial fluids with a free surface, we derive a new system of coupled nonlinear Schrödinger equations in the small amplitude, quasimonochromatic limit. The derivation uses a recently derived nonlocal formulation of interfacial fluids bounded by a free surface.
Keywords:
interfacial fluid, hydrodynamics, nonlinear wave.
@article{TMF_2009_159_3_a0,
author = {M. J. Ablowitz and T. S. Haut},
title = {Coupled nonlinear {Schr\"odinger} equations for interfacial fluids with a~free surface},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {326--335},
publisher = {mathdoc},
volume = {159},
number = {3},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a0/}
}
TY - JOUR AU - M. J. Ablowitz AU - T. S. Haut TI - Coupled nonlinear Schr\"odinger equations for interfacial fluids with a~free surface JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2009 SP - 326 EP - 335 VL - 159 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a0/ LA - ru ID - TMF_2009_159_3_a0 ER -
%0 Journal Article %A M. J. Ablowitz %A T. S. Haut %T Coupled nonlinear Schr\"odinger equations for interfacial fluids with a~free surface %J Teoretičeskaâ i matematičeskaâ fizika %D 2009 %P 326-335 %V 159 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a0/ %G ru %F TMF_2009_159_3_a0
M. J. Ablowitz; T. S. Haut. Coupled nonlinear Schr\"odinger equations for interfacial fluids with a~free surface. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 3, pp. 326-335. http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a0/