Addition for the acoustic equation

DOI10.1002/cpa.10003zbMath1024.37046OpenAlexW1984119402MaRDI QIDQ4790255

H. P. jun. McKean

Publication date: 28 January 2003

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.10003

zbMATH Keywords

KdV equationSturm-Liouville equationDarboux transformationacoustic equationinverse problem method

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (1)

Linear systems, Hankel products and the sinh-Gordon equation

Cites Work

• Geometry of KdV. II: Three examples
• Geometry of KdV. IV: Abel sums, Jacobi variety, and theta function in the scattering case
• Geometry of KdV. I: Addition and the unimodular spectral classes
• Degenerate elliptic curves and resolution of uni- and bimodal singularities
• Breakdown of a shallow water equation
• Hill’s surfaces and their theta functions
• A shallow water equation on the circle
• An integrable shallow water equation with peaked solitons

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