Complex SUSY Transformations and the Painlevé IV Equation
Complex SUSY Transformations and the Painlevé IV Equation
In this paper we will explicitly work out the complex first-order SUSY transformation for the harmonic oscillator in order to obtain both real and complex new exactlysolvable potentials.Furthermore, we will show that this systems lead us to exact complex solutions of the Painlevé IV equation with complex parameters.We present some …