Lagrangian 3-form structure for the Darboux system and the KP hierarchy
نویسندگان
چکیده
A Lagrangian multiform structure is established for a generalisation of the Darboux system describing orthogonal curvilinear coordinate systems. It has been shown in past that this coupled PDEs fact an encoding entire Kadomtsev-Petviashvili (KP) hierarchy terms so-called Miwa variables. Thus, providing description multidimensionally consistent amounts to new 3-form continuous KP system. matrix (also known as non-Abelian) discussed.
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2023
ISSN: ['0377-9017', '1573-0530']
DOI: https://doi.org/10.1007/s11005-023-01641-7