Existence of solitary internal waves in a two-layer fluid of infinite depth

DOI10.1016/S0362-546X(97)00178-8zbMath0912.76013OpenAlexW2000266142MaRDI QIDQ4378813

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Publication date: 5 May 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00178-8

zbMATH Keywords

inverse scattering transformintegral equationsEuler equationsboundary value problemBenjamin-Ono equationanalytical complex potentialsmall-amplitude long-wave limittraveling soliton

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55) Soliton equations (35Q51)

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Cites Work

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• Algebraic Solitary Waves in Stratified Fluids
• On the Theory of Internal Waves of Permanent Form in Fluids of Great Depth
• Internal waves of permanent form in fluids of great depth
• Solitary internal waves in deep water