Dispersionless Hirota Equations of Two-Component BKP Hierarchy

Abstract

The BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dis- persionless limit of this multi-component hierarchy is considered on the level of the -func- tion. The so called dispersionless Hirota equations are obtained from the Hirota equations of the -function. These dispersionless Hirota equations turn out to be equivalent to a sys- tem of Hamilton-Jacobi equations. Other relevant equations, in particular, dispersionless Lax equations, can be derived from these fundamental equations. For comparison, another approach based on auxiliary linear equations is also presented.