Coupled nonlinear Schr\"odinger equations for interfacial fluids with a~free surface
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 3, pp. 326-335

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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.
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     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/}
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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/