Quasi-periodic solutions for some (2+1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy

Some (2 + 1)-dimensional integrable models, including the modified Kadomtse v-Petviashvili equation, generated by the Jaulent-Miodek hierarchy are inve stigated. With the help of the Jaulent-Miodek eigenvalue problem, these (2 + 1)-dimensional integrable models are separated into compatible Hamiltonia n systems of ordinary differential equations. Using the generating function flow method, the involutivity and the functional independence of the integ rals are proved. The Abel-Jacobi coordinates are introduced, from which the quasi-periodic solutions for these (2 + 1)-dimensional integrable models a re derived by resorting to the Riemann theta functions.