中文摘要：

7阶Lax方程是重要的可积高阶Kd V方程。利用伪势方法,求得方程组形式的Lax对和AKNS形式的Lax对。根据方程组形式的Lax对,推导方程的无穷守恒律。由AKNS形式的Lax对构造达布变换,最后由达布变换推出方程的孤子解。

英文摘要：

Seventh-order Lax equation as the higher order Kd V equation has been testified to satisfy Painlevé integrability. Two sets of Lax pair of seventh-order equation can be derived from the poseudopotentials approach. Based on Lax pair in form of equations,infinite numbers of conservation laws are obtained,while Darboux transformation is constructed by the Lax pair in form of AKNS system.Finally,one-soliton solution is presented by the Darboux transformation.