No solitary waves exist on 2D deep water
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Publication:4920083
DOI10.1088/0951-7715/25/12/3301zbMath1322.35191arXiv1209.1926OpenAlexW2045868481MaRDI QIDQ4920083
Publication date: 16 May 2013
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.1926
Pseudodifferential operators as generalizations of partial differential operators (35S05) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08)
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Global bifurcation theory for periodic traveling interfacial gravity-capillary waves ⋮ The Froude number for solitary water waves with vorticity ⋮ No Pure Capillary Solitary Waves Exist in 2D Finite Depth ⋮ Benjamin-Feir instability of Stokes waves in finite depth ⋮ Smooth stationary water waves with exponentially localized vorticity ⋮ On the modelling of short and intermediate water waves ⋮ No solitary waves in 2D gravity and capillary waves in deep water ⋮ Nonexistence of subcritical solitary waves ⋮ Existence, nonexistence, and asymptotics of deep water solitary waves with localized vorticity
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