The coordinate system \(\mu\times\kappa\) on \(L^2([0,1])\times L^2([0,1])\) for the AKNS operator

DOI10.1007/s11040-014-9142-9zbMath1310.34115OpenAlexW2030019897MaRDI QIDQ471814

Laurent Amour

Publication date: 17 November 2014

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-014-9142-9

zbMATH Keywords

coordinate systemAKNS operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Linear boundary value problems for ordinary differential equations (34B05) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Cites Work

• Gaps of one dimensional periodic AKNS systems
• Inverse spectral theory for the AKNS system with separated boundary conditions
• Inverse spectral results for Schrödinger operators on the unit interval with potentials in L ^p spaces
• Inverse spectral problem for singular Ablowitz–Kaup–Newell–Segur operators on [0, 1]
• Inverse spectral results for AKNS systems with partial information on the potentials
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