Flux singularities in multiphase wavetrains and the Kadomtsev-Petviashvili equation with applications to stratified hydrodynamics

This paper illustrates how the singularity of the wave action flux causes the Kadomtsev-Petviashvili (KP) equation to arise naturally from the modulation of a two-phased wavetrain, causing the dispersion to emerge from the classical Whitham modulation theory. Interestingly, the coefficients of the r...

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Bibliographic Details
Main Author: Daniel Ratliff
Format: Default Article
Published: 2018
Subjects:
Other mathematical sciences not elsewhere classified
Modulation
Lagrangian dynamics
Nonlinear waves
Water waves and fluid dynamics
Asymptotic analysis
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/35898
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