Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”

DOI10.1111/sapm.12256zbMath1418.35321OpenAlexW2921316413MaRDI QIDQ5227216

Daniel J. Ratliff, Thomas J. Bridges

Publication date: 25 July 2019

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://epubs.surrey.ac.uk/850369/1/Krein%20signature%20and%20Whitham%20modulation%20theory.pdf

zbMATH Keywords

sign characteristicwave actiontheory of characteristicsquadratic matrix pencilcoupled NLSmultiphase modulation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (5)

Reappraisal of Whitham's 1967 theory for wave-meanflow interaction in shallow water ⋮ Validity of the hyperbolic Whitham modulation equations in Sobolev spaces ⋮ A proof of validity for multiphase Whitham modulation theory ⋮ Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory ⋮ Dispersive dynamics in the characteristic moving frame

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