2006/08/31 by Takashi Takebe, Lee-Peng Teo · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Physics and Astronomy · #Biological Activity of Diterpenoids and Biflavonoids #Computer science #Engineering #Extension (predicate logic) #Generalization #Generalized flag variety #Hierarchy #Integrable system #Lie group #Limit (mathematics) #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pure mathematics #Toda lattice #math.QA #nlin.SI
paper · pdf · doi:10.3842/sigma.2006.072
published as SIGMA 2 (2006), 072, 30 pages · This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
arxiv created 2006/10/31 · openalex publication_date 2006/10/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We define the coupled modified KP hierarchy and its dispersionless limit. This integrable hierarchy is a generalization of the "half" of the Toda lattice hierarchy as well as an extension of the mKP hierarchy. The solutions are parametrized by a fibered flag manifold. The dispersionless counterpart interpolates several versions of dispersionless mKP hierarchy.