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Solution hierarchies for the Painleve IV equation
David Bermudez, David J. Fernandez C
In this article we will obtain real and complex solutions to the Painleve IV equation through supersymmetric quantum mechanics. Then we will classify them into real solution hierar…
Complex solutions to Painleve IV equation through supersymmetric quantum mechanics
David Bermudez, David J. Fernandez C
In this work, supersymmetric quantum mechanics will be used to obtain complex solutions to Painleve IV equation with real parameters. We will also focus on the properties of the as…
Wronskian differential formula for confluent supersymmetric quantum mechanics
David Bermudez, David J. Fernandez C., Nicolas Fernandez-Garcia
A Wronskian differential formula, useful for applying the confluent second-order SUSY transformations to arbitrary potentials, will be obtained. This expression involves a parametr…
Non-hermitian Hamiltonians and Painlevé IV equation with real parameters
David Bermudez, David J. Fernandez C
In this letter we will use higher-order supersymmetric quantum mechanics to obtain several families of complex solutions of the Painleve IV equation with real parameters. We shall…