zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Integrable dynamics of knotted vortex filaments. (English) Zbl 1066.37049
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 5th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 5--12, 2003. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-8-7/pbk). 11-50 (2004).
This series of lectures adresses relationships between integrability (the Floquet spectrum of a given solution), geometry and topology of closed curve solutions of the vortex flament equation. Among others, the author discusses the explicit algebro-geometric construction of $N$-phase solutions of the vortex flament equation, following Krichever’s use of the Baker-Akhiezer function. For the entire collection see [Zbl 1048.53002].
37N10Dynamical systems in fluid mechanics, oceanography and meteorology
37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies
37K25Relations of infinite-dimensional systems with differential geometry
35Q53KdV-like (Korteweg-de Vries) equations
76B47Vortex flows
53C44Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Full Text: Link