Modulation instability, stability analysis and soliton solutions to the resonance nonlinear Schrodinger model with Kerr law nonlinearity

In the theory of optical fibres, the nonlinear Schrodinger equation is one of the most significant physical models for understanding the dynamics of optical soliton proliferation. Optical soliton propagation in nonlinear optical fibres is a topic of considerable contemporary interest due to the wide range of applications for ultrafast signal routing systems and short light pulses in communications. Our basic objective of this investigation is to use different modern analytical techniques to develop several soliton solutions for the resonance model. As an outcome, a variety of periodic solitons and singular bell shaped solitons solutions are obtained. Furthemore, the findings of stability as well as its modulation instabilities are effectively analyzed. The adapted schemes seem very impressive and competent avenue to obtained several advanced moving pulse shapes of different coincident pattern in the recent decade.