In this paper,we use the methods of simple integral and the single parameter Lie group in traditional Lie group,to study the integrability of travelling wave solutions equations in several biological models which have practical background respectively.

In this paper, we use different means of the single parameter Lie group,study the integrability of the some nonlinearity ordinary differential equations,and prove the unaccepted any Lie group for the four classes system Painlevé-equation, making use of traditional theory of the Lie group,accordingly which cannot reduce order.

By using symmetric group with which the tetraatomic molecules satisfy, we construct the algebraic Hamiltonian that not only includes Majorana operator M 12 but also M 13 and M 23 which are very useful for getting potential energy surface and force constants in Lie algebra method.

Study on the parameter equation of hot spot s stress concentration factor in welded pipe joint;

Two notes for curvilinear parameter equation;

Two notes of parameter equation teaching;

Particle swarm optimization algorithm based on parametric equation method to handle equality constraints;

By the solution of the model,a calculating formula of the local dihedral angel of intersecting line and a parametric equation of contacting li.

A parametric equation to establish velocity field for the indentation of semi-infinite medium by a flat-round punch was proposed, and corresponding parametric integration to deformation power was performed as a new method in this paper.