Application of the Darboux transform to spectral problems in ocean acoustics

被引：2

作者：

Gudimenko, AI ^{[1
]}

Zakharenko, AD ^{[1
]}

机构：

[1] Russian Acad Sci, Far Eastern Div, Pacific Oceanol Inst, Vladivostok 690022, Russia

来源：

TECHNICAL PHYSICS LETTERS | 2005年 / 31卷 / 04期

关键词：

Boundary Condition; Exact Solution; Velocity Profile; Acoustics; Sound Velocity;

D O I：

10.1134/1.1920367

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We propose a generalization of the n-order Darboux transform, which can be applied to solving spectral problems in ocean acoustics in cases when the medium can be considered stratified with respect to density. For a second-order Darboux transform with the boundary conditions characteristic of a single-layer shallow sea model, conditions are determined under which the spectra of the initial and transformed spectral problems coincide. It is demonstrated that, within the framework of this model, it is possible to use the n-order Darboux transform for constructing sound velocity profiles admitting exact solutions. (C) 2005 Pleiades Publishing, Inc.

引用

页码：267 / 269

页数：3