15 citations · 33 across the 5 of their papers we have counts for
5 papers
Applications of Grassmannian flows to coagulation systems
Anastasia Doikou, Simon J. A. Malham, Ioannis Stylianidis +1
We demonstrate how many classes of Smoluchowski-type coagulation models can be realised as multiplicative Grassmannian flows and are therefore linearisable, and thus integrable in…
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…
Applications of Grassmannian flows to integrable systems
Anastasia Doikou, Simon J. A. Malham, Ioannis Stylianidis +1
We show how many classes of partial differential systems with local and nonlocal nonlinearities are linearisable in the sense that they are realisable as Fredholm Grassmannian flow…
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…
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…