114 citations · 359 across the 14 of their papers we have counts for
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Solutions to the Painlevé V equation through supersymmetric quantum mechanics
David Bermudez, David J. Fernández C., Javier Negro
In this paper we shall use the algebraic method known as supersymmetric quantum mechanics (SUSY QM) to obtain solutions to the Painlevé V (PV) equation, a second-order non-linear o…
Complex oscillator and Painlevé IV equation
David J. Fernandez C, J. C. Gonzalez
Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. In this article the first- and second- order supe…
Supersymmetric quantum mechanics and Painleve equations
David Bermudez, David J. Fernández C
In these lecture notes we shall study first the supersymmetric quantum mechanics (SUSY QM), specially when applied to the harmonic and radial oscillators. In addition, we will defi…
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…