1. bookVolumen 30 (2022): Edición 2 (May 2022)
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1844-0835
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17 May 2013
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Motion of Inextensible Quaternionic Curves and Modified Korteweg-de Vries Equation

Publicado en línea: 02 Jun 2022
Volumen & Edición: Volumen 30 (2022) - Edición 2 (May 2022)
Páginas: 91 - 101
Recibido: 10 Aug 2021
Aceptado: 10 Nov 2021
Detalles de la revista
License
Formato
Revista
eISSN
1844-0835
Primera edición
17 May 2013
Calendario de la edición
1 tiempo por año
Idiomas
Inglés
Abstract

Many curve evolutions have been determined which are integrable in recent times. The motion of curves can be defined by certain integrable equations including the modified Korteweg-de Vries. In this study, the quaternionic curves in 3 and 4-dimensional Euclidean spaces have been considered and the motions of inextensible quaternionic curves have been characterized by the modified Korteweg-de Vries (mKdV) equations. For this purpose, the basic concepts of the quaternions and quaternionic curves have been summarized. Then the evolutions of inextensible quaternionic curves with reference to the Frenet formulae have been obtained. Finally, the mKdV equations have been generated with the help of their evolutions

Keywords

MSC 2010

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