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As the key apparatus, the All optical Wavelength Converter (AOWC) will play an important role in future optical communication system. In this paper, a theoretical model based on mutual coupling effect of laser modes for all-optical wavelength converter in single-model homogeneously broaden laser is presented. With the theory the paper analyze the stability of single-model homogeneously broaden lasers and the influence on its characteristics when there is parameters variety. Numerical value of saw tooth wave is given also. Those results are useful to realization and the optimal design of the wavelength converter.