The Existence Of The Coupled Schr(?)dinger Equations About The Interaction With Nonlinear Gravity Waves Study

Large number of observation and research shows that the gravity waves in the upper atmosphere of pervasive, The gravitational wave can explain that the upper atmosphere parameter's fluctuation change, showed certain transition condition phenomenon the physical reason, the gravitational wave energy and the momentum from the wave source area to the spatial transportation, cause between the atmospheric different level area the mutual coupling, the upper atmosphere energy budget balanced holds the important status in the whole world, because of the atmosphere density along with the index drop, results in the gravitational wave highly by the troposphere upload neighbor the intermediate deck goes against obtains the big perturbation velocity to burst and to produce the rapids, thus change temperature situation circulation structure.The Schrodinger wave equation is in the quantum mechanics one of most basic equations, it has promulgated in the microcosm the motion of matter basic rule, has laid the modern times quantum mechanics foundation.The present paper basis atmospheric dynamics principle, the research has the vertical shear basic flow field mesoscale misalignment gravity internal wave packet successional variation process, carries on the reduced perturbation to the mesoscale dynamic equation, obtained the atmospheric misalignment gravity wave interaction evolution equation set. The main method is embarks from the atmosphere basic equation of motion, the use multiple criterion perturbation methods derive two misalignment gravitational wave packets the interaction process, this process may sum up finally as the misalignment coupling Schrodinger equation set, the equation coefficient and real atmosphere's basic air current's vertical structure concerns.According to this thesis principle of atmospheric dynamics, perturbing the dynamics of the scale of the equation, gain the interaction of atmospheric gravity waves the evolution of nonlinear equations.Through research, results showed that:Nonlinear interaction of atmospheric gravity waves accord with the evolution of the coupled Schrodinger equation:The coefficient of this equations determine by the actual basic field of the factual atmosphere.In this paper which study c_g2^*= 0 , namely immediately group velocity relative to the situation in 0:The use of separation of variables will be coupled Schrodinger equations into equations Lu + Nu = Fu , when coupled Schrodinger equations are to meetL + N with D(L) to Y the homeomorphism of the conditions, the set of equations existence.