Bl. Guo et Bx. Wang, THE GLOBAL SOLUTION AND ITS LONG-TIME BEHAVIOR FOR A CLASS OF GENERALIZED LS TYPE EQUATIONS, Progress in Natural Science, 6(5), 1996, pp. 533-546
Applying the integral a priori estimates method, the existence and uni
queness of the global solution for the system of the interaction of ge
neralized long wave and short wave are proved. The approximate inertia
l manifolds for this system are also constructed.