Linearization of third-order ordinary differential equations by point and contact transformations |
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| Authors: | Nail H Ibragimov Sergey V Meleshko |
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| Institution: | a Department of Mathematics and Science, Research Centre ALGA: Advances in Lie Group Analysis, Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden
b School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima, 3000, Thailand |
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| Abstract: | We present here the solution of the problem on linearization of third-order ordinary differential equations by means of point and contact transformations. We provide, in explicit forms, the necessary and sufficient conditions for linearization, the equations for determining the linearizing point and contact transformations as well as the coefficients of the resulting linear equations. |
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| Keywords: | Nonlinear equations Candidates for linearization Contact transformations Relative invariants Linearization test |
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