Structure of a fourth-order dispersive flow equation through the generalized Hasimoto transformation

DOI10.1007/S12220-024-01798-0MaRDI QIDQ6624035

Eiji Onodera

Publication date: 24 October 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Kähler manifoldscomplex Grassmanniangeneralized Hasimoto transformationgeneralized bi-Schrödinger flowfourth-order dispersive flow equationsystem of nonlinear dispersive partial differential equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Other complex differential geometry (53C56) Differential geometry of symmetric spaces (53C35) Geometric theory, characteristics, transformations in context of PDEs (35A30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Systems of nonlinear higher-order PDEs (35G50) Higher-order geometric flows (53E40)

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