Isospectral deformations for Sturm-Liouville and Dirac-type operators and associated nonlinear evolution equations

DOI10.1016/0034-4877(92)90008-OzbMath0783.35061OpenAlexW1968012125MaRDI QIDQ1308954

Karl Unterkofler, Friedrich Gesztesy

Publication date: 6 March 1994

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(92)90008-o

zbMATH Keywords

Sturm-Liouville operatorsnonlinear evolution equationsisospectral deformationsHarry Dym equationDirac-type operatorsHirota's \(\tau\)-functionsKdV- hierarchies

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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