The KP theory and Mach reflection

DOI10.1017/jfm.2016.422zbMath1445.76022OpenAlexW2474260984MaRDI QIDQ4976752

H. H. Yeh, Yuji Kodama

Publication date: 1 August 2017

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2016.422

zbMATH Keywords

solitary wavesshallow water flowsmathematical foundations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Foundations of fluid mechanics (76A02)

Related Items (8)

On a class of initial value problems and solitons for the KP equation: a numerical study ⋮ Solitons and lump waves to the elliptic cylindrical Kadomtsev-Petviashvili equation ⋮ Evolution of truncated and bent gravity wave solitons: the Mach expansion problem ⋮ Fourfold amplification of solitary-wave Mach reflection at a vertical wall ⋮ Numerical studies of the KP line-solitons ⋮ Soliton interaction in the modified Kadomtsev–Petviashvili-(II) equation ⋮ Topographic effect on oblique internal wave–wave interactions ⋮ Group analysis and conservation laws of an integrable Kadomtsev–Petviashvili equation

Cites Work

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• Normal Form and Solitons
• Soliton solutions of the KP equation with V-shape initial waves
• Soliton Solutions of the KP Equation and Application to Shallow Water Waves
• Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
• A high-order spectral method for the study of nonlinear gravity waves
• Resonantly interacting solitary waves
• Obliquely interacting solitary waves
• A finite element analysis of mach reflection by using the Boussinesq equation
• Young diagrams and N-soliton solutions of the KP equation
• Mach reflection of a large-amplitude solitary wave
• Construction of KP solitons from wave patterns
• The solitary wave in water of variable depth. Part 2

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