Zero Curvature and generalization of Painlevé equation from AKNS/Lund-Regge model
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.
nlin.SI↗