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

DOI10.1090/qam/1546zbMath1425.35160arXiv1804.02328OpenAlexW2964076722WikidataQ122112905 ScholiaQ122112905MaRDI QIDQ4972699

Jaime Angulo Pava, Jean Claude Saut

Publication date: 26 November 2019

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.02328

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Traveling wave solutions (35C07)

Related Items (7)

On some Boussinesq/full dispersion systems for internal waves: numerical solution and solitary waves ⋮ Long time existence for the Boussinesq-Full dispersion systems ⋮ Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. II: Dynamics ⋮ Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations ⋮ Numerical solution of internal-wave systems in the intermediate long wave and the Benjamin-Ono regimes ⋮ On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves ⋮ Nonlinear dispersive equations: classical and new frameworks

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