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The two-dimensional localized modes around a soliton have been investigated by using an extension of Su-ShriefferHeeger model, in which is included the nonlinear term of electron-phonon interaction. The results show that there appears an additional localized mode, and the two modes obtained in the previous work without the nonlinear term disappear. Furthermore, the frequencies of the modes are shifted and their localizations are changed after tuing on the nonlinear term.