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One of the important questions of the nonlinear ordinary diierential equations theory is representation of the meromorphic solutions as the ratio of the entire functions similarly to the Weierstrass function (z), which is a solution of an equation 0 2 = 4 3 + g 2 + g 3 ; and it has representation through the entire function (z) applying the formulas z = xt ? 1 2m?1 ; u(x; t) = t ? 2 2m?1 dw dz + w 2 (2) to the ordinary diierential equation D ?1 S m?1 w (w 0) + zw + = 0; (m P 2)

ON GENERAL REPRESENTATION OF THE MEROMORPHIC SOLUTIONS OF HIGHER ANALOGUES OF THE SECOND PAINLEVE EQUATION