Starting from the Smoluchowski and Nernst-Planck equations, we demonstrated that the effective refractive index exponentially depends on the optical intensity in nanosuspensions with negative polarizability. We proposed a method for inducing curved waveguide structures by Airy beams in the nanosuspensions, and we theoretically analyzed the size of the curved waveguides. Moreover, we simulated various curved waveguides induced by different Airy beams, and discussed the relationship among the curved waveguide, Airy beams and the parameters of nanosuspensions. As shown in this research, by the control of the incident propagation behavior of Airy beams and the nanosuspension, the curved waveguides with different-sized structures can be induced. The results provide a novel method for creating a waveguide structure in a volume medium, which may find practical applications, especially for coherent beams combination, integrated photonics integration and optical manipulation.