Super Hirota bilinear equations for the super modified BKP hierarchy
Huizhan Chen
Abstract
In this paper, the super modified BKP (SmBKP) hierarchy is constructed from the perspective of the neutral free superfermions by using highest weight representations of the infinite-dimensional Lie superalgebra b∞|∞(g). Based upon this, the corresponding super Hirota bilinear identity of the SmBKP hierarchy is obtained by using the super Boson-Fermion correspondence of type B, and some specific examples of super Hirota bilinear equations are given. The super bilinear identity with respect to super wave and adjoint wave functions is also constructed. At last, we also give a class of solutions other than group orbit by the neutral free superfermions.
Topics & Concepts
HierarchyBilinear interpolationMathematicsBilinear formPure mathematicsIdentity (music)Type (biology)Class (philosophy)Lie superalgebraGroup (periodic table)Mathematical analysisAlgebra over a fieldMathematical physicsLawPhysicsQuantum mechanicsComputer scienceArtificial intelligenceAffine Lie algebraStatisticsBiologyPolitical scienceCurrent algebraAcousticsEcologyNonlinear Waves and SolitonsAlgebraic structures and combinatorial modelsNonlinear Photonic Systems