Modelling of rotations by using matrix solutions of nonlinear wave equations

被引：0

作者：

Gudkov, V. V. ^{[1
]}

机构：

[1] Latvian State Univ, Inst Math & Comp Sci, LV-1459 Riga, Latvia

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2007年 / 12卷 / 02期

关键词：

anti-commuting matrices; mapping contraction; matrix solution; nonlinear wave equation; particles collision; rotation; vortex ring;

D O I：

10.3846/1392-6292.2007.12.187-194

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：187 / 194

页数：8

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