Modelling of rotations by using matrix solutions of nonlinear wave equations

6533b827fe1ef96bd1285e08

RESEARCH PRODUCT

Modelling of rotations by using matrix solutions of nonlinear wave equations

Vladimir Vasilevich Gudkov

subject

mapping contraction anti‐commuting matrices Mathematical analysis Matrix solution particles collision Collision rotation Matrix similarity Vortex ring Classical mechanics nonlinear wave equation Nonlinear wave equation vortex ring Modeling and Simulation QA1-939 SPHERES matrix solution Contraction (operator theory)Analysis Mathematics Mathematics

description

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

year	journal	country	edition	language
2007-06-30	Mathematical Modelling and Analysis

10.3846/1392-6292.2007.12.187-194 http://journals.vgtu.lt/index.php/MMA/article/view/7119

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