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math.AP2020
Integrability of local and nonlocal non-commutative fourth order quintic nonlinear Schrodinger equations
Simon J. A. Malham
We prove integrability of a generalised non-commutative fourth order quintic nonlinear Schrodinger equation. The proof is relatively succinct and rooted in the linearisation method…
math.AP2020★ 15 cited
Grassmannian flows and applications to non-commutative non-local and local integrable systems
Anastasia Doikou, Simon J. A. Malham, Ioannis Stylianidis
We present a method for linearising classes of matrix-valued nonlinear partial differential equations with local and nonlocal nonlinearities. Indeed we generalise a linearisation p…