TY - JOUR TI - The generalized Giachetti-Johnson hierarchy and algebro-geometric solutions of the coupled KdV-MKdV equation AU - Yue Chao AU - Xia Tiecheng AU - Liu Guijuan AU - Lu Qiang AU - Zhang Ning JN - Thermal Science PY - 2019 VL - 23 IS - 3 SP - 1697 EP - 1702 PT - Article AB - By using a Lie algebra A1, an isospectral Lax pair is introduced from which a generalized Giachetti-Johnson hierarchy is generated, which reduce to the coupled KdV-MKdV equation, furthermore, the algebro-geometric solutions of the coupled KdV-MKdV equation are constructed in terms of Riemann theta functions.