2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185778A bicomplex is a simple mathematical structure, in particular associated with completely integrable models. The conditions defining a bicomplex are a special form of a parameter-dependent zero curvature condition. We generalize the concept of a Darboux matrix to bicomplexes and use it to derive Backlund transformations for several models. The method also works for Moyal-deformed equations with a corresponding deformed bicomplex.Substantially revised version with several additions, 38 pages, to appear in J. Phys. AExactly Solvable and Integrable SystemsHigh Energy Physics - TheoryMathematical PhysicsBicomplexes and Backlund transformationstext