Abstract
In this paper, the Kac–van de Leur version of the coupled super KP (SKP) and super modified KP (SmKP) hierarchies are constructed. We define the tau functions as the orbit of a new group G(g) acting on the weight vectors, where G(g) is generated by elements in the even part of the tensor product of Clifford superalgebra and Grassmann algebra. The super Hirota bilinear equations of the coupled SKP and SmKP hierarchies are obtained by super boson-fermion correspondence of type A, and the bilinear identities with respect to the super Baker functions and tau functions in superbosonic Fock space are also constructed. Finally, the Miura transformation in terms of superfermions is also discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
