Affiliation:
1. Institute of Mathematics and Computer Science, University of Latvia, Rainis b. 29, LV-1459, Riga, Latvia
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.
Publisher
Vilnius Gediminas Technical University
Subject
Modelling and Simulation,Analysis