On the existence and evaluation of Stokes phenomena in fluid mechanics

Alexandrakis, N. (2022) On the existence and evaluation of Stokes phenomena in fluid mechanics. Asymptotic Analysis, 129 (1). pp. 113-139.

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Abstract

A singularly perturbed, high order KdV-type model, which describes localized travelling waves ('solitons') is being considered. We focus on the Inner solution, and detect Stokes phenomena that are crucial as to whether we can obtain a suitable solution. We provide a simple proof that the corresponding Stokes constant is non-zero. Also, we evaluate this splitting constant numerically by using two methods that are induced by the underlying theory.