Modelling of rotations by using matrix solutions of nonlinear wave equations
Abstract
A family of matrix solutions of nonlinear wave equations is extended and its application to modelling is given. It is shown that a similarity transformation, induced by the matrix solution, is equivalent to the rotation. Matrix solutions are used for modelling helical motions and vortex rings, simultaneous rotations and particles collision, mapping contraction and pulsating spheres. Geometrical interpretation of the doubling of rotation angle in each step of sequential mapping contraction is given.
First Published Online: 14 Oct 2010
Keywords:
anti‐commuting matrices, mapping contraction, matrix solution, nonlinear wave equation, particles collision, rotation, vortex ringHow to Cite
Share
License
Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
View article in other formats
CrossMark check
Published
Issue
Section
Copyright
Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.