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math.AP2023
Coagulation, non-associative algebras and binary trees
Simon J. A. Malham
We consider the classical Smoluchowski coagulation equation with a general frequency kernel. We show that there exists a natural deterministic solution expansion in the non-associa…
nlin.SI2023
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…