Abstract
In this paper, based on the direct method proposed by Akira Nakamura, we present an efficient numerical scheme to calculate the N-periodic wave solutions to the Tzitzeica equation and the (2 + 1)-dimensional modified Bogoyavlenskii-Schiff (mBS) equation which can be transformed into a coupled bilinear system with some dependent variable transformation. By using this numerical scheme, we calculate their 2-periodic wave solutions and 3-periodic wave solutions as examples. We also show the asymptotic behaviors under a “small amplitude” limit of these quasi-periodic wave solutions numerically.
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