摘要

One way to construct a differential sequence is to take the recursion operator of the corresponding evolution partial differential equation and use it on some suitable seed equation such as the right side of the seed evolution partial differential equation. The differential sequence inherits the appropriate properties of the hierarchy such as integrating factors and an infinite number of conservation laws (rendered somewhat meaningless by the ability to remove derivatives higher than those occurring in the differential equation itself). We consider some variations which lead to sequences of ordinary differential equations with (at least sometimes) interesting properties.

  • 出版日期2013-10

全文