Abstract
We consider a fifth-order singularly perturbed KdV equation. The direct perturbation method for solving it is investigated in the first order approximation for the travelling wave case. The application of the method leads to a general soliton of the first-order equation, which describes some arrays of wave crests. Analysis of the solution shows that the perturbation makes the soliton lower and narrower than an unperturbed KdV soliton.
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