Existence of solitary wave solutions for internal waves in two-layer systems

Pava, Jaime; Saut, Jean-Claude

doi:10.1090/qam/1546

Authors: Jaime Angulo Pava and Jean-Claude Saut
Journal: Quart. Appl. Math. 78 (2020), 75-105
MSC (2010): Primary 76B55, 35Q35, 76B03, 35C07, 35B65, 76B25
DOI: https://doi.org/10.1090/qam/1546
Published electronically: July 9, 2019
MathSciNet review: 4042220
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Abstract: The aim of this paper is to establish the existence of solitary wave solutions for two classes of two-layer systems modeling the propagation of internal waves. More precisely we will consider the Boussinesq-Full dispersion system and the Intermediate Long Wave (ILW) system together with its Benjamin-Ono (BO) limit.

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