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We investigate the (2 + 1)‐dimensional Broer‐Kaup‐Kupershmidt equations. Some explicit expressions of solutions for the equations are obtained by using the bifurcation method and qualitative theory of dynamical systems. These solutions contain kink‐shaped solutions, blow‐up solutions, periodic blow‐up solutions, and solitary wave solutions. Some previous results are extended.
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Song et al. (2010) studied this question.
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