Exact traveling wave solutions to the (2+1)-dimensional Biswas-Milovic equations

In this paper, we investigate two (2+1)-dimensional Biswas-Milovic equations, which are actually a focusing nonlinear Schrödinger equation and plays a vital role in the research of the solitary wave propagation in nonlinear media. Using the method of simplest equation, we derive some exact traveling wave solutions to these two Biswas-Milovic equations. Moreover, the results in this paper can help us understand the change of the solitary waves in the condensate from a small perturbation via modulation instabilities.