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    Contact Linearizability of Scalar Ordinary Differential Equations of Arbitrary Order

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    Contact_Contact_Linearizability.pdf
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    Type
    Conference Paper
    Authors
    Liu, Yang
    Lyakhov, Dmitry cc
    Michels, Dominik L.
    KAUST Department
    Visual Computing Center, King Abdullah University of Science and Technology, Al-Khawarizmi Bldg 1, Thuwal, 23955-6900, Kingdom of Saudi Arabia
    Visual Computing Center (VCC)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Computer Science Program
    Embargo End Date
    2021-12-02
    Permanent link to this record
    http://hdl.handle.net/10754/666227
    
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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.
    Citation
    Liu, Y., Lyakhov, D., & Michels, D. L. (2020). Contact Linearizability of Scalar Ordinary Differential Equations of Arbitrary Order. Lecture Notes in Computer Science, 421–430. doi:10.1007/978-3-030-60026-6_24
    Sponsors
    This work has been funded by the King Abdullah University of Science and Technology (KAUST baseline funding). The authors are grateful to Peter Olver for helpful discussions and to the anonymous reviewers for comments that led to improvement of the paper.
    Publisher
    Springer International Publishing
    Conference/Event name
    22nd International Workshop on Computer Algebra in Scientific Computing, CASC 2020
    ISBN
    9783030600259
    DOI
    10.1007/978-3-030-60026-6_24
    Additional Links
    http://link.springer.com/10.1007/978-3-030-60026-6_24
    ae974a485f413a2113503eed53cd6c53
    10.1007/978-3-030-60026-6_24
    Scopus Count
    Collections
    Conference Papers; Computer Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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