Abstract
The semi-analytical solution for the soliton propagation in a suspension consisting of spherical metallic nanoparticles is studied. Considering the impact of imaginary part of nanoparticle polarizability on the optical force and consequently on the particle rearrangement in the presence of laser fields, a nonlinear equation describing the dynamics of laser amplitude is obtained and solitary wave existence is investigated. The technique that we have used for deriving semi-analytical solutions related to the solitary waves is a variational approach that is based on using an averaged Lagrangian and a suitable trial function. For some frequencies, fixed points of the system are derived and their stability is investigated.
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