On dispersionless BKP hierarchy and its reductions

Abstract

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

11 pages

Cited by in corpus (13)

• Looped cotangent Virasoro algebra and non-linear integrable systems in dimension 2+1
• Universal Whitham hierarchy, dispersionless Hirota equations and multi-component KP hierarchy
• Functional representations of integrable hierarchies
• From AKNS to derivative NLS hierarchies via deformations of associative products
• Characteristic Lie Algebras of Integrable Differential-Difference Equations in 3D
• On Kernel Formulas and Dispersionless Hirota Equations
• Dispersionless BKP Hierarchy and Quadrant Löwner Equation
• Dispersionless and multicomponent BKP hierarchies with quantum torus symmetries
• Towards the classification of integrable differential-difference equations in 2 + 1 dimensions
• Dispersionless BKP equation, the Manakov-Santini system and Einstein-Weyl structures
• Loewner equations and reductions of dispersionless hierarchies
• Lax Pair for a Novel Two-Dimensional Lattice
• Solutions for real dispersionless Veselov-Novikov hierarchy