Journal article
Curve motion inducing modified Korteweg-de Vries systems
Physics letters. A, v 239(1)
1998
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Abstract
A straightforward vector generalization of the modified Korteweg-deVries equation is shown to be intimately related to the geometry of curves in
n-dimensional Euclidean spaces and spheres. This mKdV system, which is coupled in a particularly a simple way, describes the dynamics of the
natural curvature vector of a unit speed curve subject to an elementary geometric evolution equation. The underlying structure of these equations is related to generalizations of the nonlinear Schrödinger and localized induction equations in the context of Hermitian symmetric Lie algebras.
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Details
- Title
- Curve motion inducing modified Korteweg-de Vries systems
- Creators
- Joel Langer - Case Western Reserve UniversityRon Perline - Drexel University
- Publication Details
- Physics letters. A, v 239(1)
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000072707100007
- Scopus ID
- 2-s2.0-0041355372
- Other Identifier
- 991019167855704721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Physics, Multidisciplinary