Basis systems on the torus generated by finite-zone integration of the Korteweg-de Vries equation

DOI10.1007/BF01157281zbMath0707.35140OpenAlexW2055106496MaRDI QIDQ919541

Yu. M. Vorob'ev, S. Yu. Dobrokhotov

Publication date: 1990

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01157281

zbMATH Keywords

torusKorteweg-de Vries equationHill operatorEigenfunctionsassociated functionsbasis systemfinite zone integration

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) General topics in linear spectral theory for PDEs (35P05)

Cites Work

• Spectral theory of two-dimensional periodic operators and its applications
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
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