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We find a Lax pair for the geometrically exact discrete Hamiltonian equations for the discrete elastic rod. This is paper III of a series.
Comment: Corrected a display problem for several mathematical symbols
Comment: Corrected a display problem for several mathematical symbols
Externí odkaz:
http://arxiv.org/abs/nlin/0308015
In previous work, the dynamics of the elastic rod was recast in a Lax pair formulation, with fiducial arc length s and time t as continuous independent variables. However, the solution of these equations cannot apply directly to a system where the fi
Externí odkaz:
http://arxiv.org/abs/nlin/0112004
We introduce a spectral parameter into the geometrically exact Hamiltonian equations for the elastic rod in a way that creates a Lax pair. This assures integrability and permits application of the inverse scattering transform solution method. If the
Externí odkaz:
http://arxiv.org/abs/nlin/0108042
Autor:
McClain, W. Ray, author
Publikováno v:
Fisheries and Aquaculture : Volume 9, 2020, ill.
Externí odkaz:
https://doi.org/10.1093/oso/9780190865627.003.0011
Autor:
Abadilla, Miles, author, McClain, W. Ray, author, Sato, Taku, author, Mejía-Ortíz, Luis M., author, Penna-Díaz, Miguel A., author
Publikováno v:
Fisheries and Aquaculture : Volume 9, 2020, ill.
Externí odkaz:
https://doi.org/10.1093/oso/9780190865627.003.0008
Publikováno v:
The American Midland Naturalist, 2017 Jan 01. 177(1), 69-74.
Externí odkaz:
https://www.jstor.org/stable/44840301
Autor:
McClain, W. E., Ebinger, J. E.
Publikováno v:
Castanea, 1999 Dec 01. 64(4), 346-349.
Externí odkaz:
https://www.jstor.org/stable/4034021
Autor:
McClain, W. E., Ebinger, J. E.
Publikováno v:
Castanea, 1997 Jun 01. 62(2), 65-73.
Externí odkaz:
https://www.jstor.org/stable/4033892
Autor:
McClain, W. Ray, Romaire, Robert P.
Publikováno v:
In Aquaculture 1 September 2009 294(1-2):93-98
Autor:
McClain, W. T.
Publikováno v:
Journal of African Law, 1962 Apr 01. 6(1), 54-57.
Externí odkaz:
https://www.jstor.org/stable/745173