Contact Linearizability of Scalar Ordinary Differential Equations of Arbitrary Order
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Conference PaperKAUST Department
Visual Computing Center, King Abdullah University of Science and Technology, Al-Khawarizmi Bldg 1, Thuwal, 23955-6900, Kingdom of Saudi ArabiaVisual Computing Center (VCC)
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Computer Science Program
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2021-12-02Permanent link to this record
http://hdl.handle.net/10754/666227
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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_24Sponsors
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 PublishingConference/Event name
22nd International Workshop on Computer Algebra in Scientific Computing, CASC 2020ISBN
9783030600259Additional Links
http://link.springer.com/10.1007/978-3-030-60026-6_24ae974a485f413a2113503eed53cd6c53
10.1007/978-3-030-60026-6_24