Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy
Abstract
We construct bilinear identities for wave functions of an extended B-type Kadomtsev-Petviashvili (BKP) hierarchy containing two types of (2+1)-dimensional Sawada-Kotera equations with a self-consistent source. Introducing an auxiliary variable corresponding to the extended flow for the BKP hierarchy, we find the τ -function and bilinear identities for this extended BKP hierarchy. The bilinear identities generate all the Hirota bilinear equations for the zero-curvature forms of this extended BKP hierarchy. As examples, we obtain the Hirota bilinear equations for the two types of (2+1)-dimensional Sawada-Kotera equations in explicit form.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- March 2016
- DOI:
- 10.1134/S0040577916030016
- arXiv:
- arXiv:1604.03785
- Bibcode:
- 2016TMP...186..307L
- Keywords:
-
- BKP hierarchy;
- self-consistent source;
- bilinear identity;
- tau function;
- Hirota bilinear form;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- High Energy Physics - Theory;
- Mathematical Physics;
- 35Q51;
- 37K10
- E-Print:
- Theoretical and Mathematical Physics, 186(3) (2016) 307--319