Solution Hierarchies for the Painlevé IV Equation

DOI10.1007/978-3-0348-0448-6_16zbMath1264.81223arXiv1111.6987OpenAlexW1889572827MaRDI QIDQ4915622

David J. Fernández C., David Bermudez

Publication date: 11 April 2013

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6987

zbMATH Keywords

factorization methodsupersymmetric quantum mechanicsPainlevé equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Supersymmetry and quantum mechanics (81Q60)

Related Items (4)

Third-order ladder operators, generalized Okamoto and exceptional orthogonal polynomials ⋮ Painlevé IV solutions from systems with a harmonic oscillator gapped spectrum ⋮ On integrable Ermakov-Painlevé IV systems ⋮ Painlevé IV: A numerical study of the fundamental domain and beyond

Cites Work

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• SUSY QUANTUM MECHANICS WITH COMPLEX SUPERPOTENTIALS AND REAL ENERGY SPECTRA
• Higher-order SUSY, linearized nonlinear Heisenberg algebras and coherent states
• The Factorization Method

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