Solitary internal waves in continuously stratified fluids of great depth

DOI10.1016/S0167-2789(02)00424-4zbMath1031.76011OpenAlexW2086414220MaRDI QIDQ1604171

R. Smith

Publication date: 3 July 2002

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(02)00424-4

zbMATH Keywords

existenceBenjamin-Ono equationalgebraic decayfirst-order approximation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55) Soliton equations (35Q51)

Related Items (3)

Traveling water waves — the ebb and flow of two centuries ⋮ Elliptic equations with transmission and Wentzell boundary conditions and an application to steady water waves in the presence of wind ⋮ Existence and qualitative theory for stratified solitary water waves

Cites Work

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• Uniqueness and related analytic properties for the Benjamin-Ono equation -- A nonlinear Neumann problem in the plane
• Gravity and capillary-gravity periodic travelling waves for two superposed fluid layers, one being of infinite depth
• Structure of permanent waves in density-stratified media
• Algebraic Solitary Waves in Stratified Fluids
• The stability of internal solitary waves
• Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation
• On the stability theory of solitary waves
• Exact multi-soliton solution of the Benjamin-Ono equation
• On the Theory of Internal Waves of Permanent Form in Fluids of Great Depth
• Existence of solitary internal waves in a two-layer fluid of infinite depth
• Uniqueness of Benjamin's Solitary-Wave Solution of the Benjamin-Ono Equation
• The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
• Gravity travelling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation
• Internal waves of permanent form in fluids of great depth
• Solitary internal waves in deep water
• Internal travelling waves in the limit of a discontinuously stratified fluid.

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