New exact solutions of the complex Lorenz equations

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, , Citation G P Flessas 1989 J. Phys. A: Math. Gen. 22 L137 DOI 10.1088/0305-4470/22/5/001

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1 Dept. of Appl. Math. & Mech., Patras Univ., Greece

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0305-4470/22/5/L137

Abstract

The author presents two classes of particular exact solutions to the complex Lorenz equations. These solutions possess the Painleve property. The parameter range for which the above solutions hold includes as special cases two of the three parameter ranges for which the general solution of the complex Lorenz equations has the Painleve property.

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