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    Contact Linearizability of Scalar Ordinary Differential Equations of Arbitrary Order

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    Contact_Linearizability (1).pdf
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    Type
    Presentation
    Authors
    Liu, Yang
    Lyakhov, Dmitry
    Michels, Dominik L.
    KAUST Department
    Visual Computing Center King Abdullah University of Science and Technology, Thuwal, Saudi Arabia
    Date
    2020-09-15
    Permanent link to this record
    http://hdl.handle.net/10754/665267
    
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    Abstract
    We consider the problem of the exact linearization of scalar nonlinear ordinary differential equations by contact transformations. This contribution is extending the previous work by Lyakhov, Gerdt, and Michels addressing linearizability by means of point transformations. We have restricted ourselves to quasi-linear equations solved for the highest derivative with a rational dependence on the occurring variables. As in the case of point transformations, our algorithm is based on simple operations on Lie algebras such as computing the derived algebra and the dimension of the symmetry algebra. The linearization test is an efficient algorithmic procedure while finding the linearization transformation requires the computation of at least one solution of the corresponding system of the Bluman-Kumei equation.
    Sponsors
    This work has been funded by the King Abdullah University of Science and Technology (KAUST baseline funding).
    Conference/Event name
    Computer Algebra in Scientific Computing - CASC 2020
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