Special Session 20: Lie Symmetries, Conservation Laws, and Other Approaches in Solving Nonlinear Differential Equations

Totally non-negative Pfaffian and its constructions
Jen-Hsu Chang
National Defense University
Taiwan
Co-Author(s):    Jen-Hsu Chang
Abstract:
The totally non-negative pfaffian (TNNP) is define for a skew-symmetric matrix such that all the sub-pfaffians are non-negative.It appears in the pfaffian structure of tau-function for the non-singular web solitons of the BKP equation . One constructs TNNP using the Perfect matching, chord diagram and the Dyck paths enumeration. Its tridiagonal form is also investigated.