Open AccessNON-PROPAGATING SOLITARY WAVES ON THE INTERFACE BETWEEN TWO LAYERS OF FLUIDS IN RECTANGULAR WAVEGUIDE
Author(s) -
Yan Jia-Ren,
Guoxiang Huang,
Nian-Ning Huang
Publication year - 1988
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.37.874
Subject(s) - inviscid flow , physics , surface tension , nonlinear system , waveguide , gravitational wave , optics , interface (matter) , surface (topology) , nonlinear schrödinger equation , modulation (music) , classical mechanics , mechanics , mathematical analysis , acoustics , quantum mechanics , geometry , mathematics , capillary number
We stutied the nonlinear modulation of the gravitation surface-tension waves on the interface between two layers of imcompressible inviscid fluids which are contained in a rectangular waveguide with horizontal solid walls, by the meth rd of multiple scales technique, and generalized the theory of Larraza and Putterman. Including the surface-tension effects, we found that the first order modulated wave satisfies the cubic Schrodinger equation. Then me derived the non-propagating solitary solution, and made some discussion on the results obtained.