@inproceedings{3b0db1ab4f934b2a9126a66c8b287ec7,

title = "Lie symmetry analysis for Cosserat rods",

abstract = "We consider a subsystem of the Special Cosserat Theory of Rods and construct an explicit form of its solution that depends on three arbitrary functions in (s,t) and three arbitrary function in t. Assuming analyticity of the arbitrary functions in a domain under consideration, we prove that the obtained solution is analytic and general. The Special Cosserat Theory of Rods describes the dynamic equilibrium of 1-dimensional continua, i.e. slender structures like fibers, by means of a system of partial differential equations.",

keywords = "Cosserat Rods, General Solution, Janet Basis, Kirchhoff Rods, Lie Symmetry Method",

author = "Michels, {Dominik L.} and Lyakhov, {Dmitry A.} and Gerdt, {Vladimir P.} and Sobottka, {Gerrit A.} and Weber, {Andreas G.}",

year = "2014",

doi = "10.1007/978-3-319-10515-4_23",

language = "English (US)",

isbn = "9783319105147",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "324--334",

booktitle = "Computer Algebra in Scientific Computing - 16th International Workshop, CASC 2014, Proceedings",

address = "Germany",

note = "16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014 ; Conference date: 08-09-2014 Through 12-09-2014",

}