An inversion formula for recursion operator of KP hierarchy

作者:Tu Guizhang*
来源:Journal of Mathematical Physics, 2015, 56(12): 121506.
DOI:10.1063/1.4938572

摘要

An inversion formula is established for the recursion operator Psi of the KP hierarchy. The formula explains in part how operators {(partial derivative/partial derivative y)(i)} are cancelled each other in certain combination of Psi(i) (partial derivative/partial derivative y)(j) that is essential for generating the KP hierarchy.