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We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP‐BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow‐up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow‐up wave solutions, and solitary wave solutions.
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Song et al. (2012) studied this question.
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