Jen-Hsu Chang
Construction of totally non-negative pfaffian
The totally non-negative Pfaffians are introduced via the Tau-function of the B-Type Kadomtsev-Petviashvili Equation (BKP) equation to obtain non-singular line-solitons solution. The line solitons interact to form web-like structure in the near field region and their resonances appearing in soliton graph. One studies the construction of totally nonnegative pfaffian using the perfect matchings of plane graph with 2n vertices appearing in cyclic order on a face. Also, the relations with the chord diagrams are discussed.
