首页|THE EXACT MEROMORPHIC SOLUTIONS OF SOME NONLINEAR DIFFERENTIAL EQUATIONS
THE EXACT MEROMORPHIC SOLUTIONS OF SOME NONLINEAR DIFFERENTIAL EQUATIONS
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We find the exact forms of meromorphic solutions of the nonlinear differential equations fn+q(z)eQ(z)f(k)=p1eα1z+p2eα2z,n ≥ 3,k ≥ 1,where q,Q are nonzero polynomials,Q(≡)Const.,and P1,p2,α1,α2 are nonzero constants with α1 ≠ α2.Compared with previous results on the equation p(z)f3+q(z)f"=-sinα(z)with polynomial coefficients,our results show that the coefficient of the term f(k)perturbed by multiplying an exponential function will affect the structure of its solutions.
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