Energy Estimate For Weakly Coupled Nonlinear Schr(?)dinger Equations

Partial differential equations,which are derived from a variety of practical problems,are applied in many fields,such as physics,chemistry,biology and economics,etc.Schr(?)dinger equation is one of the very important partial differential equations.The Schr(?)dinger equation is a basic assumption in quantum mechanics,which can be used to describe the motion of microscopic particles.There are many important results about existence,stability,regularity of the solution and the stability of single Schr(?)dinger equations,However,there are few results about the solution and energy decay of the coupled Schr(?)dinger equations.In this paper,we study the energy estimate for weakly coupled nonlinear Schr(?)dinger equations.First of all,we discuss the following properties of the weakly coupled nonlinear Schr(?)dinger equations,The results of the energy estimate of the above system are obtained.Secondly,we discuss the following weakly coupled nonlinear Schr(?)dinger equations,We give the results of the energy estimate of the above system.