Bifurcation of traveling wave solutions for the BBM-like B(2, 2) equation

Abstract In this paper, we employ the bifurcation method of dynamical systems to investigate the BBM-like B (2, 2) equation. The phase portrait bifurcation of the traveling wave system corresponding to the equation is given. Under different parametric conditions, various sufficient conditions to guarantee the existence of smooth and non-smooth traveling wave solutions are given. Through some special phase orbits, Some solitary wave solutions expressed by implicit functions, periodic cusp wave solution, compacton solution and peakon solution are obtained.

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