Common, Alan K. (1993) The half-infinite discretized hirota equation and the trigonometric moment problem. Inverse Problems, 9 (6). pp. 641-648. ISSN 0266-5611. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
The discretized Hirota equation is considered for the half-infinite case. Solutions are constructed, which are related to the trigonometric moment problem, by considering continued fraction solutions to a corresponding Riccati equation. It is demonstrated how the latter may be linearized when a certain boundary condition at the finite end is specified. These solutions may be chosen so that they tend to zero at infinity for all time.
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||R.F. Xu|
|Date Deposited:||19 Jul 2009 09:44|
|Last Modified:||14 May 2014 14:41|
|Resource URI:||https://kar.kent.ac.uk/id/eprint/20847 (The current URI for this page, for reference purposes)|