On the Darboux transformation of second order ordinary differential operator

DOI10.3792/pjaa.64.327zbMath0665.34043OpenAlexW2027124041MaRDI QIDQ1116004

Mayumi Ohmiya

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.327

zbMATH Keywords

KdV equationDarboux transformationcomplex domainsecond order differential operator

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

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• Differential equations in the spectral parameter
• On the Darboux transformation of the second order differential operator of Fuchsian type on the Riemann sphere
• On a class of polynomials connected with the Korteweg-de Vries equation
• Inverse scattering on the line