Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7375355 | Physica A: Statistical Mechanics and its Applications | 2018 | 14 Pages |
Abstract
The one-factor term structure model by Vasicek is analysed from the point of view of Lie symmetry analysis. Its one-parameter Lie point symmetries and corresponding group of adjoint representations are obtained. An optimal system of one-dimensional subalgebras is derived and is then used to obtain symmetry reductions and group-invariant solutions. The group-invariant solutions presented here are new and have not appeared in the literature. Moreover, we derive conservation laws for the Vasicek equation by employing the theorem due to Ibragimov.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Chaudry Masood Khalique, Tanki Motsepa,