SUPERPOSITION FORMULAS FOR PSEUDO-ORTHOGONAL MATRIX RICCATI-EQUATIONS

The purpose of this article is to derive superposition formulas for ps eudo-orthogonal matrix Riccati equations of even dimensions N greater than or equal to 4. The superposition formulas will be written in clos ed form in terms of five particular solutions for N greater than or eq ual to 8 and six for N less than or equal to 6. The importance of pseu do-orthogonal matrix Riccati equations for the orthogonal principal si gma-model is discussed. Examples will be studied to show how the super position formulas work and how they can be used in numerical calculati ons.