Well-posedness and persistence property for a shallow water wave equation for waves of large amplitude
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Publication:4628926
DOI10.1080/00036811.2017.1408079zbMath1414.35201OpenAlexW2773169523MaRDI QIDQ4628926
Publication date: 25 March 2019
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2017.1408079
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items (5)
Well-posedness of a highly nonlinear shallow water equation on the circle ⋮ The Cauchy problem for shallow water waves of large amplitude in Besov space ⋮ A highly nonlinear shallow-water model Arising from the full water waves with the Coriolis effect ⋮ The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of \(sech^2\) solutions ⋮ Symmetric waves are traveling waves of some shallow water scalar equations
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