(m)KdV solitons on the background of quasi-periodic finite-gap solutions

DOI10.1090/memo/0563zbMath0855.35109OpenAlexW2040862431MaRDI QIDQ4861547

Roman Svirsky, Friedrich Gesztesy

Publication date: 22 January 1996

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0563

zbMATH Keywords

Lax pairsalgebro-geometric solutionscommutation methodsMiura-type transformations(m)KdV equationHirota's \(\tau\)-function

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

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