Logarithmic and hyperbolic spirals associated with Schrödinger's equation

DOI10.1016/J.JDE.2022.01.005zbMath1497.34003OpenAlexW4205801846MaRDI QIDQ2074437

William C. Troy

Publication date: 10 February 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.005

zbMATH Keywords

logarithmic spiralhyperbolic spiraltopological shooting

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• Unnamed Item
• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• Focusing and multi-focusing solutions of the nonlinear Schrödinger equation
• Local structure of the self-focusing singularity of the nonlinear Schrödinger equation
• New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations
• Blowup in the nonlinear Schrödinger equation near critical dimension
• New singular standing wave solutions of the nonlinear Schrödinger equation
• Spatial Structure of the Focusing Singularity of the Nonlinear Schrödinger Equation: A Geometrical Analysis

This page was built for publication: Logarithmic and hyperbolic spirals associated with Schrödinger's equation