Open AccessNON-PROPAGATING SOLITARY SURFACE WAVE IN A CHANNEL WITH UNIFORMLY AND SLOWLY VARYING WIDTH
Author(s) -
Yan Jia-Ren,
Zhu Song-Hui,
Hong Li
Publication year - 1994
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.43.925
Subject(s) - physics , nonlinear system , channel (broadcasting) , perturbation (astronomy) , surface wave , mechanics , perturbation theory (quantum mechanics) , classical mechanics , mathematical analysis , optics , mathematics , quantum mechanics , telecommunications , computer science
The nonlinear equation governing the non-propagating solitary wave and its analytical solution in a channel with uniformly and slowly varying width has been derived using the perturbation theory of multiple scales. The result obtained predicts that the solitary wave always moves towards the narrow end of the channel with an approximately uniform acceleration which is proportional to the variation rate of the width. The method in the present paper can be extended in principle to the theoretical investigation of other linear and nonlinear waves in a uniformly and slowly varying wave guide.