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math.AP2025
Linear systems, determinants and solutions of the Kadomtsev-Petviashvili equation
Gordon Blower, Simon J. Malham
Let be a linear system in continuous time with input and output space and state space . The scattering (or impulse response) functions $ϕ_{(x)}(t)…
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…