Derivation of the Korteweg-de Vries equation for an operator with a mixed spectrum

DOI10.1016/0022-247X(85)90106-4zbMath0576.34015OpenAlexW2051708597MaRDI QIDQ1065224

Harry Hochstadt, Wallace Goldberg

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(85)90106-4

zbMATH Keywords

Korteweg-de Vries equationpoint spectrumHill's equationinstability intervals

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• An inverse problem for a differential operator with a mixed spectrum
• On a periodic boundary value problem with only a finite number of simple eigenvalues
• The spectrum of Hill's equation
• Necessary and sufficient conditions for determining a Hill's equation from its spectrum
• Periodic solutions of the KdV equation
• An Inverse Problem for a Hill’s Equation
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• On the determination of a Hill's equation from its spectrum

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