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摘要
Liu [Liu Rui, Coexistence of multifarious exact nonlinear wave solutions for generalized b-equation, Inter. J. Bifurcation and Chaos, 20, pp. 3193-3208, 2010] investigated the coexistence of multifarious exact traveling wave solutions of the generalized b-equation, and also presented three conjectures and two questions. In this note, by using the method of complete discrimination system for polynomial, it is shown that some general exact explicit solutions of the generalized b-equation can be obtained directly. Moreover, the above conjectures and questions are confirmed/corrected and clarified, respectively.
