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It is shown that the inclusion of weak nonlinearities may have a profound effect on the conservative linear mode conversion in inhomogeneous media. The phenomenon is demonstrated by adding a quadratic nonlinearity to the conventional system of integral equations describing spatial evolution of linear multicomponent waves. The nonlinear generalization of the reduced coupled mode equations then shows the possibility of a persistent interaction between the modes via the "spatial autoresonance,"doi:10.1063/1.860426 fatcat:i3vi2rqzu5d53j3laopxjca2ke