## Proceedings of the Centre for Mathematics and its Applications

- Proc. Centre Math. Appl.
- Mini Conference on Inverse Problems in Partial Differential Equations. Amiya K Pani and Robert S. Anderssen, eds. Proceedings of the Centre for Mathematics and its Applications, v. 31. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1992), 111 - 120

### Darboux transformation and inverse scattering

#### Abstract

This paper is a self-contained account of the application of the Darboux transformation to the one-dimensional SchrOdinger inverse problem, giving results that provide solutions to the Korteweg-de Vries equation. No originality is claimed by the author; the quoted references have been used for the material presented.

#### Article information

**Dates**

First available in Project Euclid:
18 November 2014

**Permanent link to this document**

https://projecteuclid.org/
euclid.pcma/1416323375

**Mathematical Reviews number (MathSciNet)**

MR1210770

**Zentralblatt MATH identifier**

0786.34023

#### Citation

Englefield, M. J. Darboux transformation and inverse scattering. Mini Conference on Inverse Problems in Partial Differential Equations, 111--120, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 1992. https://projecteuclid.org/euclid.pcma/1416323375