This paper applies the chain-scattering approach for linear H-infinity control to input affine nonlinear plants with general output structure, The nonlinear H-infinity-control problem is reformulated in terms of the chain representation of a given plant. The state-space characterization of J-dissipative (J-lossless) systems together with two special types of coprime factorizations are used to provide a class of controllers which solve locally the H-infinity-control problem, The problems considered correspond to the general two-and four-block problems in the linear case. The results are given in terms of two uncoupled nonlinear partial differential inequalities with a coupling condition on their solutions.