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.
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Official URL http://dx.doi.org/10.1088/0266-5611/9/6/003 |

## Abstract

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.

Item Type: | Article |
---|---|

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) |

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