It is well known that a genuinely nonlinear straight string can support only trivial, constant stretch, traveling waves. We demonstrate that such a string preshaped into a rotating helix supports the propagation of subsonic solitons for any stress-strain relation. The properties of the resulting solitary wave depend on its sense of rotation versus the rotation of the free string as a rigid body. The cases of linear and quadratic stress-strain relations are considered explicitly.
|Number of pages||12|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|State||Published - 1 Jul 1996|
- String dynamics
- Vector equations