Symmetry classification of collapsible tube model incorporating tension

The purpose of this work is to perform a complete symmetry classification of a collapsible tube model which incorporates the constant longitudinal tension and curvature of the tube wall. The direct method of group classification is used to specify the functional forms of the arbitrary elements (functions) which appear in the model under consideration.

► Group classification of collapsible tube model incorporating tension and curvature. ► Functional forms of the tube law and frictional losses are specified. ► Symmetry Lie algebra of each case is presented.