The nonlinear interactions between the monochromatic wave have been considered by K. Matsunchi, who also proposed one class of the nonlinear Schrdinger equation system with wave operator. We also obtain the same type ...The nonlinear interactions between the monochromatic wave have been considered by K. Matsunchi, who also proposed one class of the nonlinear Schrdinger equation system with wave operator. We also obtain the same type of equations, which are satisfied by transverse velocity of higher frequency electron, as we study soliton in plasma physics. In this paper, under some condition we study the existence and nonexistence for this equations in the cases possessing different signs in nonlinear term.展开更多
This paper introduces some methods about how to carry out quality-oriented education in English class.With joining the WTO,international culture communication and other aspects relation have been increased a lot.Engli...This paper introduces some methods about how to carry out quality-oriented education in English class.With joining the WTO,international culture communication and other aspects relation have been increased a lot.English has become more and more important in current society.However,a lot of Chinese students could not master English completely.Therefore,quality-oriented education,as a new educational concept,is more and more welcome.It is to take student's development,the quality enhancement as the essential target.English teaching is a part of quality-oriented education.I expect these would be animating English teaching in school.展开更多
The existence of global weak solutions to the periodic boundary problem or the initial value problem for the nonlinear Pseudo-hyperbolic equation u_(tt)-[a_1+a_2(u_x)^(2m)]u_(xx)-a_3u_(xxt)=f(x,t,u,u_x) is proved by t...The existence of global weak solutions to the periodic boundary problem or the initial value problem for the nonlinear Pseudo-hyperbolic equation u_(tt)-[a_1+a_2(u_x)^(2m)]u_(xx)-a_3u_(xxt)=f(x,t,u,u_x) is proved by the method of the vanishing of the additional diffusion terms, Leray-Schauder's fixedpoint argument and Sobolev's estimates,where m≥1 is a natural number and a_i>0(i=1,2,3)are constants.展开更多
文摘The nonlinear interactions between the monochromatic wave have been considered by K. Matsunchi, who also proposed one class of the nonlinear Schrdinger equation system with wave operator. We also obtain the same type of equations, which are satisfied by transverse velocity of higher frequency electron, as we study soliton in plasma physics. In this paper, under some condition we study the existence and nonexistence for this equations in the cases possessing different signs in nonlinear term.
文摘This paper introduces some methods about how to carry out quality-oriented education in English class.With joining the WTO,international culture communication and other aspects relation have been increased a lot.English has become more and more important in current society.However,a lot of Chinese students could not master English completely.Therefore,quality-oriented education,as a new educational concept,is more and more welcome.It is to take student's development,the quality enhancement as the essential target.English teaching is a part of quality-oriented education.I expect these would be animating English teaching in school.
文摘The existence of global weak solutions to the periodic boundary problem or the initial value problem for the nonlinear Pseudo-hyperbolic equation u_(tt)-[a_1+a_2(u_x)^(2m)]u_(xx)-a_3u_(xxt)=f(x,t,u,u_x) is proved by the method of the vanishing of the additional diffusion terms, Leray-Schauder's fixedpoint argument and Sobolev's estimates,where m≥1 is a natural number and a_i>0(i=1,2,3)are constants.
