KP solitons and Mach reflection in shallow water

2012/10/01 by Yuji Kodama, Kodama, Yuji · 1 citation
Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.1210.0281

openalex publication_date 2012/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This gives a survey of our recent studies on soliton solutions of the Kadomtsev-Petviashvili equation with an emphasis on the Mach reflection problem in shallow water.

Cited by

• The Interactions of Solitons in the Novikov-Veselov Equation

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• Soliton solutions of the KP equation and application to shallow water waves
• Solitons of shallow-water models from energy-dependent spectral problems
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