A model for large-amplitude internal waves with finite-thickness pycnocline

DOI10.1007/s10440-012-9727-xzbMath1253.35108OpenAlexW2046521590MaRDI QIDQ1928107

Roberto Camassa, C. Viotti

Publication date: 2 January 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9727-x

zbMATH Keywords

closed form solutionsasymptotic modelssolitary internal waves

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Soliton solutions (35C08) Euler equations (35Q31)

Related Items (3)

Modulational instability of surface-gravity waves in presence of a pycnocline of finite thickness ⋮ Non-Boussinesq effect on the internal solitary wave propagation under a Lagrangian-like description for various pycnocline thickness conditions ⋮ Conditions of Wave Propagation in a Two-Layer Liquid with Free Surface

Cites Work

• Multiple scale and singular perturbation methods
• On the response of large-amplitude internal waves to upstream disturbances
• Optimal two-layer approximation for continuous density stratification
• A Computational Method for Solitary Internal Waves in a Continuously Stratified Fluid
• Fully nonlinear solitary waves in a layered stratified fluid
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• Fully nonlinear internal waves in a two-fluid system
• Fully nonlinear solitary waves in continuously stratified incompressible Boussinesq fluids
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