Dispersionless Hirota Equations of Two-Component BKP Hierarchy

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Dispersionless Hirota equations of two-component BKP hierarchy

The BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dispersionless limit of this multi-component hierarchy is considered on the level of the τ -function. The so called dispersionless Hirota equations are obtained from the Hirota equations of the τ -function. These dispersionless Hirota equations turn out to be equivalent to a system of Hamilton-Jacobi equations. Other relevant...

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Integrable dispersionless Kadomtsev-Petviashvili (KP) hierarchy of B type is considered. Addition formula for the τ -function and conformally invariant equations for the dispersionless BKP (dBKP) hierarchy are derived. Symmetry constraints for the dBKP hierarchy are studied.

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Solution of the Dispersionless Hirota Equations

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ژورنال

عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications

سال: 2006

ISSN: 1815-0659

DOI: 10.3842/sigma.2006.057