50 citations · 202 across the 30 of their papers we have counts for
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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…
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…
The algebraic structure of the non-commutative nonlinear Schrodinger and modified Korteweg-de Vries hierarchy
Gordon Blower, Simon J. A. Malham
We prove that each member of the non-commutative nonlinear Schrodinger and modified Korteweg--de Vries hierarchy is a Fredholm Grassmannian flow, and for the given linear dispersio…
The non-commutative Korteweg--de Vries hierarchy and combinatorial Poppe algebra
Simon J. A. Malham
We give a constructive proof, to all orders, that each member of the non-commutative potential Korteweg-de Vries hierarchy is a Fredholm Grassmannian flow and is therefore linearis…