Pfaffian Solutions to Non-Commutative Integrable Systems

Abstract: Solutions to a number of integrable systems an be expressed in the form of Pfaffians. In this talk we shall investigate forms for non-commutative Pfaffians via the quasi-determinant formalism. We shall explore the possibility of constructing new integrable systems employing these non-commutative Pfaffians. Among the equations we shall explore are the BKP equation, the Novikov-Veselov equation and the Hirota-Ohta coupled soliton equations.

mathematical physics

Audience: researchers in the topic

Seminar-Type Workshop on Noncommutative Integrable Systems