Nonlinearization Of Modified Jaulent-miodek Hierachy

From a 2 × 2 matrix spectral problem, a hierarchy of nonlinear differential equa-tions which contains (2+1)-Modified Jaulent-Miodek equation . Then, a class of finite-dimensional Hamiltonian systems are obtained with the help of the nonlinearization ap-proach. Further, The Hamiltonian systems is proved to be completely integrable in the Liouville sense .There are many theories to this kind of finite-dimensional Hamilton system-s.we the Hamilton flow can be straighten out with the help of Abel-Jacobi coordinates.In this way,the old nonlinear partial differential equation is equal to a linear equation in the new space.Hence,it can be solved easily.Finally, the quasi-periodic solutions can be ob-tained by the Riemann Theta function.