Darboux transformations of the square of a Schrödinger operator and associated evolution equations

DOI10.1016/S0893-9659(99)00078-6zbMath0937.35162OpenAlexW2061556440MaRDI QIDQ1808431

Yanyan Li

Publication date: 25 May 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00078-6

zbMATH Keywords

Schwarzian derivativeSchrödinger operatorKdV equationDarboux transformations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model

Cites Work

• Commuting pairs of linear ordinary differential operators of orders four and six
• On a class of polynomials connected with the Korteweg-de Vries equation
• Rank 2 commuting ordinary differential operators and Darboux conjugates of KdV
• KP solutions generated from KdV by `rank' 2 transference
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