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Abstract The exact solving problem of nonlinear torsional wave equation in non-circular cross-sectional rod is investigated. Using the method of direct integral together with differential transformation, an implicit general solution of the nonlinear torsional wave equation are obtained. Through analyzing arbitrary integral constants and coefficients of the known equation, various solutions of this equation are given, including trigonometric function solution, hyperbolic function solution, exponential function solution, elliptic function solution and their composite function. These solutions correspond to solitary waves, shock waves and periodical waves and so on.
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Received: 20 January 2010
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2010, Vol. 31 
