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Grassmannian flows and applications to nonlinear partial differential equations

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Publication:1733946
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DOI10.1007/978-3-030-01593-0_3zbMath1411.35071arXiv1702.05084OpenAlexW2964125220MaRDI QIDQ1733946

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

Publication date: 22 March 2019

Full work available at URL: https://arxiv.org/abs/1702.05084

zbMATH Keywords

Stiefel manifoldGrassmann manifoldMarchenko equationFisher-Kolmogorov-Petrovskii-Piskunov equationsnonlocal Riccati-type nonlinearities


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Grassmannians, Schubert varieties, flag manifolds (14M15) Nonlinear higher-order PDEs (35G20)


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The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra, Discretizations of the generalized AKNS scheme, Stability of nonlinear waves and patterns and related topics, Partial differential systems with non-local nonlinearities: generation and solutions, Non-commutative NLS-type hierarchies: dressing \& solutions, Grassmannian flows and applications to non-commutative non-local and local integrable systems



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