Nonlinear eigenvalue problems

DOI10.1007/978-88-7642-613-1_2zbMath1384.81031OpenAlexW4254760504MaRDI QIDQ4604731

Qing-hai Wang, Javad Komijani, Carl M. Bender

Publication date: 5 March 2018

Published in: Resurgence, Physics and Numbers (Search for Journal in Brave)

Full work available at URL: http://openaccess.city.ac.uk/id/eprint/3619/1/paper.pdf

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonlinear ordinary differential operators (34L30) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Nonlinear eigenvalue problems for generalized Painlevé equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometry of the string equations
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• The isomonodromy approach to matrix models in 2D quantum gravity
• Painlevé equations -- nonlinear special functions.
• Tronquée solutions of the Painlevé equation PI
• Comment on ‘Nonlinear eigenvalue problems’
• ON A PAINLEVÉ-TYPE BOUNDARY-VALUE PROBLEM
• Painlevé transcendents and -symmetric Hamiltonians
• On the second Painlevé transcendent
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Nonlinear eigenvalue problems