Complex coupled dispersionless equations in Minkowski 3-space

In this study, we investigate the geometric and algebraic aspects of defocusing Complex Coupled Dispersionless (CCD) equations in Minkowski space. We give the conditions for obtaining CCD equations from moving spacelike or timelike space curves using the Frenet and Darboux frames. Besides, we presen...

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Bibliographic Details
Published in:	Complex variables and elliptic equations Vol. 68; no. 11; pp. 1984 - 1999
Main Authors:	Eren, Kemal, Ersoy, Soley
Format:	Journal Article
Language:	English
Published:	Colchester Taylor & Francis 02-11-2023 Taylor & Francis Ltd
Subjects:	complex coupled dispersionless equations conserved quantity Darboux frame Defocusing Dispersion Lax pairs Mathematical analysis Minkowski space non-null curves
Online Access:	Get full text
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Summary:	In this study, we investigate the geometric and algebraic aspects of defocusing Complex Coupled Dispersionless (CCD) equations in Minkowski space. We give the conditions for obtaining CCD equations from moving spacelike or timelike space curves using the Frenet and Darboux frames. Besides, we present the Lax pairs that indicate that the corresponding CCD equations are integrable. Finally, we evaluate the conserved quantities for CCD equations from the geometric point of view.
ISSN:	1747-6933 1747-6941
DOI:	10.1080/17476933.2022.2097665