Li, Zhibin; Zhang, Shanqing Exact solitary wave solutions for nonlinear wave equations using symbolic computation. (Chinese. English summary) Zbl 0893.65066 Acta Math. Sci. (Chin. Ed.) 17, No. 1, 81-89 (1997). The use of symbolic computations on the computer for solving engineering and scientific problems is gaining more and more attention. This paper represents such an attempt. It uses the mechanized mathematical, symbolic computations and the Wu’s elimination method to find the exact solutions of nonlinear evolution equations. An algorithm for constructing solitary wave solutions for a class of nonlinear evolution equations is given and implemented in a computer algebraic system.The use of symbolic computations on a computer as tools for finding exact solutions for wave equations and problems in partial differential equations in general is really refreshing. Reviewer: M.-Y.Wu (Boulder) Cited in 9 Documents MSC: 65Z05 Applications to the sciences 35L70 Second-order nonlinear hyperbolic equations 68W30 Symbolic computation and algebraic computation 35K55 Nonlinear parabolic equations Keywords:exact solitary wave solutions; nonlinear wave equations; symbolic computations; elimination method; nonlinear evolution equations; algorithm PDFBibTeX XMLCite \textit{Z. Li} and \textit{S. Zhang}, Acta Math. Sci. (Chin. Ed.) 17, No. 1, 81--89 (1997; Zbl 0893.65066)