Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
836961 | Nonlinear Analysis: Real World Applications | 2016 | 7 Pages |
Abstract
In order to characterize the solitary wave in a fluid of finite depth, Witting introduced a specific power series (the Witting series). Karabut demonstrated that the problem of summation of the Witting series is brought to the integration of a particular system of ordinary differential equations and solved this system in the cases when the number of the equations is three or four. We give a simple proof that the Karabut system of five equations is already non-integrable in non-Hamiltonian sense using the Differential Galois approach.
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Authors
Ognyan Christov,