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math.AP2017★ 12 cited
Partial differential systems with nonlocal nonlinearities: Generation and solutions
Margaret Beck, Anastasia Doikou, Simon J. A. Malham +1
We develop a method for generating solutions to large classes of evolutionary partial differential systems with nonlocal nonlinearities. For arbitrary initial data, the solutions a…
math.AP2017
Grassmannian flows and applications to nonlinear partial differential equations
Margaret Beck, Anastasia Doikou, Simon J. A. Malham +1
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, fro…