2018/11/04 by Alan C. Compelli, Rossen I. Ivanov · 1 citation
Mathematics · Physics and Astronomy · #math.AP #nlin.SI #physics.flu-dyn #msc:35Q35 #msc:35Q51 #msc:35Q53 #msc:37K10
paper · pdf · doi:10.3934/dcds.2019185
published as Discrete and Continuous Dynamical Systems, 39 (2019) pp. 4519 -- 4532 · 19 pages, 1 figure. Keywords: Internal waves, nonlinear waves, long waves, Hamiltonian systems, solitons
arxiv created 2018/11/04 · arxiv updated 2019/05/20
A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer which is bounded above by a flat surface. The fluids are incompressible and inviscid. A Hamiltonian formulation for the fluid dynamics is presented and it is shown that an appropriate scaling leads to the integrable Benjamin-Ono equation.