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In this paper, we consider two types of traveling wave systems of thegeneralized Kundu-Mukherjee-Naskar equation. Firstly, due to the integrity, weobtain their energy functions. Then, the dynamical system method is applied tostudy bifurcation behaviours of the two types of traveling wave systems toobtain corresponding global phase portraits in different parameter bifurcationsets. According to them, every bounded and unbounded orbits can be identifiedclearly and investigated carefully which correspond to various traveling wavesolutions of the generalized Kundu-Mukherjee-Naskar equation exactly. Finally,by integrating along these orbits and calculating some complicated ellipticintegral, we obtain all type I and type II traveling wave solutions of thegeneralized Kundu-Mukherjee-Naskar equation without loss.

Traveling wave solutions for the generalized (2+1)-dimensional Kundu-Mukherjee-Naskar equation