Solutions of explicit traveling wave to a generalized Boussinesq equations;

In the system of two energy levels atom, based on the quantum theory and considering the effects of the outfield on the atom system, we can get the conclusion that the direction of external force is contrary to average acceleration, which conflicts with quantum Newton equation.

In this paper the scattered angle in central force field is calculated by using calculus of functional vector analysis on base of Newton equation and the law of conservation of angular momentum, it avoides complex calculations in general textbook on basics of orbital equation of central force field.

According to the traits of information society and the globalism of retrieve object and retrieve fashion,the thesis uses Brooks equation and analyses the trends of information retrieve industry,explores the construction of information retrieve people,and at last gives some methods and ways to cultivate information retrieve people.

In this paper,we propose a new quasi-Newton equation by doing the four-order Taylor series expansion for the objective function,and present a new quasi-Newton method based on the equation.

A class of modified BFGS algorithm based on the new quasi-Newton equation Bk+1sk=k=yk+γksTksksk is presented in this paper to solve the unconstrained optimization problem, and the global convergence is proved under the condition that the objective function is uniformly convex, the parameter k satisfies |1-k|≤t′‖sk‖ (t′ is a constant).

As we all know, Quasi-Newton equations lay the basis ofQuasi-Newton methods, according to the time when the Quasi-Newton equations appear, wecan classify them as :the original and the new ones.