The modulation of multiple phases leading to the modified Korteweg–de Vries equation

DOI10.1063/1.5037280zbMath1406.35334arXiv1709.08039OpenAlexW3099318478WikidataQ57120612 ScholiaQ57120612MaRDI QIDQ4689231

Daniel J. Ratliff

Publication date: 15 October 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08039

zbMATH Keywords

conservation lawsLagrangian systemmodified Korteweg-de Vries (mKdV) equationNonlinear Schrödinger modelstratified hydrodynamics

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Phase dynamics of the Dysthe equation and the bifurcation of plane waves ⋮ Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory ⋮ Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics

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