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In this paper, we construct some links between visco model of motion and equations attained by taking geometric differential description of Hasimoto map of pseudo-null curves framed by the Bishop frame and some physical consequences. First, we find that the equations of Hasimoto transformation are occurred by adapting Hasimoto map for pseudo-null curves. Then, we investigate the correspondence of both the Landau-Lifshitz system and the vortex filament equation by means of the Hasimoto map of pseudo-null curves. Lastly, we portray the links of findings obtained by geometric physical issues. Finally, we simulate optical solutions with graphically physical constructions.

In this manuscript, we investigate a new technique to describe the tangent, principal normal, and binormal osculating magnetic and electric flow density in the normal direction in the ordinary space. Based on the computed flow density, we determine the Frenet-Serret vectors of the osculating magnetic and electric flow phase in the normal phase. Then, we consider the modified visco Heisenberg ferromagnetic model to observe the variation when we compare Frenet-Serret vectors of the osculating magnetic and electric flow phase due to the modified visco Heisenberg ferromagnetic. Finally, we determine the existence conditions for describing the field vectors flux surfaces under the osculating evolution equations in the normal direction.