THE NONLINEAR PERIODIC SOLUTION OF INERTIAGRAVITATIONAL WAVE IN STRATIFIED ATMOSPHERE

In the stratified atmosphere in which the moment nondivergent approximation was applied,introducingthe nonlinear term because of the nonhomogcneous spatial distribution of density and assuming the solutionto be of the form of progressive wave,we obtain a two-order nonlinear system.By means of this system,allresults which were derived by Liu et al.(1984)were obtained.Moreover,it can be proved that there existedperiodic solution in the nonlinear systems when there existed periodic solution in the one-order approxima-tion system,and some mathematic problems arising from series expansion were avoided.In this paper,aseries of approximate solutions of nonlinear system is also discussed.

THE NONLINEAR PERIODIC SOLUTION OF INERTIAGRAVITATIONAL WAVE IN STRATIFIED ATMOSPHERE

In the stratified atmosphere in which the moment nondivergent approximation was applied,introducing the nonlinear term because of the nonhomogcneous spatial distribution of density and assuming the solution to be of the form of progressive wave,we obtain a two-order nonlinear system.By means of this system,all results which were derived by Liu et al.(1984)were obtained.Moreover,it can be proved that there existed periodic solution in the nonlinear systems when there existed periodic solution in the one-order approxima- tion system,and some mathematic problems arising from series expansion were avoided.In this paper,a series of approximate solutions of nonlinear system is also discussed.