@article {10.3844/jmssp.2010.56.59, article_type = {journal}, title = {Split-Quaternionic Representation of the Moving Frame for Timelike Surfaces in 3-Dimensional Minkowski Spacetime}, author = {Bracken, Paul}, volume = {6}, year = {2010}, month = {Mar}, pages = {56-59}, doi = {10.3844/jmssp.2010.56.59}, url = {https://thescipub.com/abstract/jmssp.2010.56.59}, abstract = {The moving frame and associated Gauss-Codazzi equations for surfaces in Minkowski three space are introduced. A split-quaternionic representation is used to identify the Gauss-Weingarten equations with a Lax pair representation. This Lax pair representaion is calculated and given explicitly.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }