Vortex filament on symmetric Lie algebras and generalized bi-Schrödinger flows
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DOI: 10.1007/s00209-017-2014-9
Abstract: In this article, we display an evolving model on symmetric Lie algebras from a purely geometric way by using the Hamiltonian (or para-Hamiltonian) gradient flow of a fourth order functional called generalized bi-Schrödinger flows, which… read more here.
Keywords: vortex filament; lie algebras; symmetric lie; schr dinger ... See more keywords
Parallel surfaces of the non-lightlike solution of vortex filament equations
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DOI: 10.1515/ms-2024-0047
Abstract: Abstract In this paper, we investigate the parallel surfaces of the nonlightlike solution of vortex filament equations, namely, the parallel surfaces to Hasimoto surfaces in E13 $\begin{array}{} \displaystyle \mathbb{E}_{1}^{3} \end{array}$. We examine the relation between… read more here.
Keywords: parallel surfaces; filament equations; solution vortex; vortex filament ... See more keywords