Phase dynamics of periodic wavetrains leading to the 5th order KP equation

DOI10.1016/j.physd.2017.05.004zbMath1378.35272OpenAlexW2617536691MaRDI QIDQ1691227

Daniel J. Ratliff

Publication date: 15 January 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://nrl.northumbria.ac.uk/id/eprint/44121/1/Phase%20Dynamics%20of%20Periodic%20Wavetrains%20Leading%20to%20the%205th%20Order%20KP%20Equation.pdf

zbMATH Keywords

nonlinear wavesLagrangian dynamicsWhitham modulation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07)

Related Items (6)

Reduction to modified KdV and its KP-like generalization via phase modulation ⋮ Traveling wave solutions of the Kawahara equation joining distinct periodic waves ⋮ Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory ⋮ The modulation of multiple phases leading to the modified Korteweg–de Vries equation ⋮ Dispersive dynamics in the characteristic moving frame ⋮ Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics

Cites Work

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• Three-dimensional solitary waves in the presence of additional surface effects
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• The dynamics of modulated wave trains
• A universal form for the emergence of the Korteweg–de Vries equation
• Phase dynamics of periodic waves leading to the Kadomtsev–Petviashvili equation in 3+1 dimensions
• Multiphase wavetrains, singular wave interactions and the emergence of the Korteweg–de Vries equation

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