Abstract
We present a geometric and algebraic way of unifying two discrete master equations of soliton theory, namely the dKP (Hirota) and dBKP (Miwa) equations.We demonstrate that so-called Cox lattices encapsulate Bianchi (hyper)cubes associated with either simultaneous solutions of a novel 14-point and the dBKP equations or solutions of the dKP equation, depending on whether the Cox lattices are nondegenerate or degenerate.
Original language | English |
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Pages (from-to) | 6842-6878 |
Number of pages | 37 |
Journal | International Mathematics Research Notices |
Volume | 2015 |
Issue number | 16 |
DOIs | |
Publication status | Published - 20 Sept 2014 |
ASJC Scopus subject areas
- Mathematics(all)