Nonlinear waves in an inextensible flexible helix

V. Krylov*, R. Parnes, L. Slepyan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The complete analytical solution of the governing nonlinear vector equations is found which describes periodic and solitary propagating-rotating waves in an initially helical fiber. A detailed description of various types of these waves is given. The solitary wave velocity is found to be proportional to the square root of the amplitude of the internal force, and the effective wave length is shown to be independent of the amplitude. The essential influence of the rigid body rotation of the helix on the wave shape is shown. Axial and angular momenta are determined as well.

Original languageEnglish
Pages (from-to)117-136
Number of pages20
JournalWave Motion
Issue number2
StatePublished - Feb 1998


FundersFunder number
United States-IsraelB inational Science Foundation
United States-Israel Binational Science Foundation9673-l-96
Colton Foundation


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