Conservation law, Chupin Liu's theorem and propagation of pulses in optical metamaterials modeled by NLSE with power law nonlinearity.

This paper devote to investigate plenteous optical and other soliton solutions to the generalized nonlinear Schrödinger equation with the parabolic nonlinear (NL) law by employing two analytical techniques. The analytical schemes are the improved function strategy and the combined - function strategy. Different sets of exponential function solutions are reached. Two reliable integration standards are locked in to devise optical dark, singular, combo, complex and periodic solutions. The detailed solutions contain key applications in building and material science. These solutions characterize the wave execution of the overseeing models, really. By the choice of reasonable parametric values, the flow of the assessed comes about by portraying their 2D, 3D and density profiles to get it the genuine phenomena for such sort of nonlinear models. The main point of this investigation is that one can visualize and overhaul the knowledge to overcome the foremost common strategies and to illuminate the ODEs and PDEs. The novel conservation law theorem is investigated. On evaluating the Chupin Liu's theorem for the grey and black solitons, to the grey and black optical solitons, the new sets of combined optical soliton solutions of the model are constructed. It is illustrated that these solutions approved the program utilizing Maple and found them adjusted. The suggested strategies for settling NLPDEs have been planned to be useful, simple, convenient, and sensible. At long last, the presence of the solutions for the imperative conditions is additionally appeared.