A new approach to the connections between moving curves and a family of complex KdV type systems

A new approach to the connections between moving curves and a family of complex KdV type systems

In this paper, we give a new approach to the existence of a connection between the geometry of moving curves and the soliton equation for a family of complex KdV type systems by using two other classes of curve evolution in Euclidean space. As an application, we derive the soliton surfaces associate...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences Vol. 46; no. 4; pp. 4279 - 4288
Main Author: Yüzbaşı, Zühal Küçükarslan
Format: Journal Article
Language:English
Published: Freiburg Wiley Subscription Services, Inc 15-03-2023
Subjects:
complex KdV
Curves
Euclidean geometry
Euclidean space
Evolution
Hasimoto map
Solitary waves
space curve
Online Access:Get full text
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Summary:In this paper, we give a new approach to the existence of a connection between the geometry of moving curves and the soliton equation for a family of complex KdV type systems by using two other classes of curve evolution in Euclidean space. As an application, we derive the soliton surfaces associated with the single soliton solutions of the given time evolution equations of the curvature function for the two‐dimensional motion of the space curve.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.8755