Abstract

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.

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