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A completely integrable case in the complex Lorenz equations

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G. P. Flessas, P. G.L. Leach
G. P. Flessas, P. G.L. Leach

Abstract


By application of the Lie theory of extended groups and for the parameter values σ=1/2, b=1, r1= e^2/2, r2=e/2, e arbitrary we prove that the system of the complex Lorenz equations is algebraically completely integrable. The respective general exact solution i$ expressed by means of Jacobian elliptic functions


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DOI: http://dx.doi.org/10.12681/hnps.2831

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