Pfaffian form of the Grammian determinant solutions of the BKP hierarchy

1998/06/11 by Q. P. Liu, Liu, Q. P., Manuel Mañas +2
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9806004

8 pages, LaTeX2e with AMSLaTeX and Babel packages

arxiv created 1998/06/11 · openalex publication_date 1998/06/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Grammian determinant type solutions of the KP hierarchy, obtained through the vectorial binary Darboux transformation, are reduced, imposing suitable differential constraint on the transformation data, to Pfaffian solutions of the BKP hierarchy.

Related

• Vectorial Darboux Transformations for the Kadomtsev-Petviashvili Hierarchy
• Additional reductions in the k-constrained modified KP hierarchy
• A one-parameter generalization of Pfaffians
• Darboux Transformations from Reductions of the KP Hierarchy
• Geometric Bäcklund--Darboux transformations for the KP hierarchy