The global solution and blow-up phenomena to a modified Novikov equation

A modified Novikov equation with symmetric coefficients is investigated. Provided that the initial value u(0) is an element of H-s(R) (s > 3/2), (1 - partial derivative(2)(X))u(0) does not change sign and the solution u itself belongs to L-1(R), the existence and uniqueness of the global strong solutions to the equation are established in the space C([0, infinity); H-s(R)) boolean AND C-1([0, infinity); Hs-1(R)). A blow-up result to the development of singularities in finite time for the equation is acquired.