Grassmannian flows and applications to non-commutative non-local and local integrable systems

DOI10.1016/j.physd.2020.132744zbMath1485.35010arXiv2004.01789OpenAlexW3014366562MaRDI QIDQ2116296

Ioannis Stylianidis, Simon J. A. Malham, Anastasia Doikou

Publication date: 16 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01789

zbMATH Keywords

Grassmannian flowslinearisation of certain types of nonlinear PDEsnonlocal non-commutative integrable systems

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for nonlinear higher-order PDEs (35G25) Other special methods applied to PDEs (35A25)

Related Items (5)

The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra ⋮ The inverse scattering transform for weak Wigner–von Neumann type potentials ^* ⋮ The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg-de Vries hierarchy ⋮ Applications of Grassmannian flows to coagulation equations ⋮ Linear systems, Hankel products and the sinh-Gordon equation

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