Numerical studies of the KP line-solitons

DOI10.1016/j.cnsns.2016.07.026zbMath1461.76077OpenAlexW2476366186MaRDI QIDQ2005027

Yanyan Li

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.07.026

zbMATH Keywords

direct numerical simulationchord diagramevolved solitary waveshallow water wave soliton

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Basic methods in fluid mechanics (76M99) Soliton solutions (35C08)

Related Items (5)

On a class of initial value problems and solitons for the KP equation: a numerical study ⋮ Accurate coiflet wavelet solution of extended \((2+1)\)-dimensional Kadomtsev-Petviashvili equation using the novel wavelet-homotopy analysis approach ⋮ New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation ⋮ Evolution of truncated and bent gravity wave solitons: the Mach expansion problem ⋮ Lump-type solutions and interaction phenomenon to the (2+1)-dimensional breaking soliton equation

Cites Work

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• Numerical study of the KP equation for non-periodic waves
• KP solitons and total positivity for the Grassmannian
• KP solitons in shallow water
• Classification of the line-soliton solutions of KPII
• Soliton Solutions of the KP Equation and Application to Shallow Water Waves
• Young diagrams and N-soliton solutions of the KP equation
• Mach reflection of a large-amplitude solitary wave
• The KP theory and Mach reflection

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