Abstract
Pulses propagating in inhomogeneous nonlinear media with linear/nonlinear gain and loss described by the vector (2+1)−dimensional cubic-quintic Ginzburg−−Landau equations (CQCGLEs) are considered. The evolution and the stability of the vector dissipative optical solitons generated from an elliptic input are studied. Based on the variational approach, we analyze the influence of various physical parameters on the dynamics of the propagating signal and its relevant parameters. Following a suitable choice of the test function, the stability analysis has been fulfilled by the analysis of the total energy. Numerical results have confirmed the analytical prediction of the collision on the stability of the vector dissipative solitons.
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