Solitons for a (2+1)-dimensional coupled nonlinear Schrödinger system with time-dependent coefficients in an optical fiber

Under investigation in this paper is a (2+1)-dimensional coupled nonlinear Schrödinger system with time-dependent coefficients, in which two perturbation functions, and , are introduced to describe the attosecond pulses in an optical fiber, where t represents the temporal variable. Bilinear forms and soliton solutions are derived via the Hirota method. Effects of and on the properties of the solitons, such as the intensity, velocity, and acceleration, are analyzed. With the choice of different perturbation functions, we obtain the linear, parabolic, and quasi-periodical solitons. When , three cases of the interactions between the two solitons are obtained. We demonstrate that the interaction between the two solitons is elastic.