This volume reviews the most recent progress on new exact solutions of the Yang-Mills SU(2) gauge field equations. In order to have a better understanding of the physical meaning of the Yang-Mills fields, the motion of a particle in these fields, first in general and then, in particular fields were discussed.Contents:IntroductionThe Yang-Mills Field Equations and the Null-Tetrad MethodClassification of the Yang-Mills FieldsStatic Solutions of the Sourceless Yang-Mills Field EquationsClassification of Gauge Fields — ApplicationExact Solutions of the Yang-Mills Field EquationsThe Motion of a Test Particle in Classical Yang-Mills FieldsSummary and Concluding RemarksReadership: High energy physicists, mathematical physicists and mathematicians.Key Features:A rare account of higher-dimensional physicsClear and fluid styleBroad coverage of topics, blackholes, particle physics, cosmology