Quasi-periodic waves of the N=1N=1 supersymmetric modified Korteweg–de Vries equation

Based on the Hirota bilinear method and the Riemann theta function, a straightforward way is shown to construct quasi-periodic wave solutions of supersymmetric equations. The resulting theory is applied to the supersymmetric modified Korteweg–de Vries equation. Further, we analyze the asymptotic properties of the solutions and give their asymptotic relations between the quasi-periodic wave solutions and the soliton solutions.