Phase dynamics of periodic waves leading to the Kadomtsev–Petviashvili equation in 3+1 dimensions

DOI10.1098/rspa.2015.0137zbMath1371.35256OpenAlexW1597098566MaRDI QIDQ5362436

Daniel J. Ratliff, Thomas J. Bridges

Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2015.0137

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Traveling wave solutions (35C07)

Related Items (5)

Reduction to modified KdV and its KP-like generalization via phase modulation ⋮ On the Elliptic-Hyperbolic Transition in Whitham Modulation Theory ⋮ Phase dynamics of periodic wavetrains leading to the 5th order KP equation ⋮ Whitham modulation equations, coalescing characteristics, and dispersive Boussinesq dynamics ⋮ Nondegeneracy, Morse index and orbital stability of the KP-I lump solution

This page was built for publication: Phase dynamics of periodic waves leading to the Kadomtsev–Petviashvili equation in 3+1 dimensions