Rational KdV potentials and differential Galois theory

DOI10.3842/SIGMA.2019.047WikidataQ127623501 ScholiaQ127623501MaRDI QIDQ2330818

Juan J. Morales-Ruiz, Sonia Jiménez, Raquel Sánchez-Cauce, M. Angeles Zurro

Publication date: 23 October 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00743

zbMATH Keywords

Schrödinger operatordifferential Galois theoryKdV hierarchyDarboux transformationsspectral curvesrational solitons

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Differential algebra (12H05)

Related Items (2)

Darboux transformations for orthogonal differential systems and differential Galois theory ⋮ Semiclassical quantification of some two degree of freedom potentials: A differential Galois approach

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