Reduction to modified KdV and its KP-like generalization via phase modulation

The main observation of this paper is that the modified Korteweg–de Vries equation has its natural origin in phase modulation of a basic state such as a periodic travelling wave, or more generally, a family of relative equilibria. Extension to 2  +  1 suggests that a modified Kadomtsev–Petviashvili...

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Bibliographic Details
Main Authors: Daniel Ratliff, Thomas J. Bridges
Format: Default Article
Published: 2018
Subjects:
Other mathematical sciences not elsewhere classified
Nonlinear waves
Lagrangian fields
Phase dynamics
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/35899
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