Showing nlin.SIShow all
2 papers · 1 filter
nlin.SI2025
The noncommutative KP hierarchy and its solution via descent algebra
Gordon Blower, Simon J. A. Malham
We give the solution to the complete noncommutative Kadomtsev--Petviashvili (KP) hierarchy. We achieve this via direct linearisation which involves the Gelfand--Levitan--Marchenko…
nlin.SI2024
Direct linearisation of the non-commutative Kadomtsev-Petviashvili equations
Gordon Blower, Simon J. A. Malham
We prove that the non-commutative Kadomtsev-Petviashvili (KP) equation and a `lifted' modified Kadomtsev-Petviashvili (mKP) equation are directly linearisable, and thus integrable…