Zero Curvature and generalization of Painlevé equation from AKNS/Lund-Regge model

Abstract

We explain the relation between the mixed mKdV/sinh-Gordon model and the Kudryashov's equation. Then, we use the mixed AKNS/Lund-Regge model to find a system of ODEs which is candidate to define a new transcendental function. We also applied the perturbative Painlevé test and presented the local representation for the solution of the system.

This paper has been withdrawn by the author due to a crucial misinterpretation of the results