A Remark on the Global Existence of a Third Order Dispersive Flow into Locally Hermitian Symmetric Spaces

DOI10.1080/03605301003717134zbMath1193.35158arXiv0906.3171OpenAlexW2570719779MaRDI QIDQ3578746

Eiji Onodera

Publication date: 20 July 2010

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3171

zbMATH Keywords

global existenceHirota equationvortex filamentSchrödinger mapdispersive flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Partial differential equations on manifolds; differential operators (58J99) Viscous vortex flows (76D17)

Related Items (4)

Motion of a vortex filament with axial flow in the half space ⋮ A fourth-order dispersive flow equation for closed curves on compact Riemann surfaces ⋮ Uniqueness Of 1D generalized bi-Schrödinger flow ⋮ Fourth-order dispersive systems on the one-dimensional torus

Cites Work

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• Soliton-like solutions of a generalized variable-coefficient higher order nonlinear Schrödinger equation from inhomogeneous optical fibers with symbolic computation
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