Elastic null curve flows, nonlinear C-integrable systems, and geometric realization of Cole-Hopf transformations

DOI10.1080/14029251.2020.1757223zbMath1436.53079arXiv1709.08234OpenAlexW3023840284MaRDI QIDQ5113683

Zühal Küçükarslan Yüzbaşı, Stephen C. Anco

Publication date: 16 June 2020

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08234

zbMATH Keywords

Minkowski spaceCole-Hopf transformationintegrable systemnull curveelastic flow

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06) Geometric evolution equations (53E99)

Related Items (2)

A new approach to the connections between moving curves and a family of complex KdV type systems ⋮ On Backlund transformation and motion of null Cartan curves

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