HIERARCHY OF NEGATIVE ORDER EQUATION AND ITS LAX PAIR

作者:ZHOU RG*
来源:Journal of Mathematical Physics, 1995, 36(8): 4220-4225.
DOI:10.1063/1.530957

摘要

A simple method is presented to construct the hierarchy of a negative order equations from a given eigenvalue problem. The hierarchy of the negative order equation we obtained is the natural continuation of a corresponding hierarchy of a higher order equation, although most of the negative order equations are complicated; we give their Lax representations. Three examples are discussed to illustrate the effectiveness of our method.