Nonlinear Waves in an Inhomogeneous Fluid Filled Elastic Tube |
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Authors: | DUAN Wen-Shan |
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Institution: | Department of Physics, Northwest Normal University,
Lanzhou 730070, China |
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Abstract: | In a thin-walled, homogeneous, straight, long, circular, and
incompressible fluid filled elastic tube, small but finite long
wavelength nonlinear waves can be describe by a KdV (Korteweg de
Vries) equation, while the carrier wave modulations are described
by a nonlinear Schrödinger equation (NLSE). However if the elastic
tube is slowly inhomogeneous, then it is found, in this paper, that
the carrier wave
modulations are described by an NLSE-like equation. There are
soliton-like solutions for them, but the stability and instability regions for this
soliton-like waves will change, depending on what
kind of inhomogeneity the tube has. |
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Keywords: | nonlinear wave inhomogeneity |
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