Jianqing Sun,Ocean University of China

In this talk, we present an efficient numerical scheme to calculate the N-periodic wave solutions to the Tzitzeica equation, the (2+1)-dimensional modified Bogoyavlenskii-Schiff equation and the mKdV-sine-Gordon 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.