Non-Linear Schrodinger Equation Solitary Wave Solutions Using Phase Amplitude Method With Higher Order Dispersion In terms of mathematics

Bhim S. Dahiya

pages: 1-5

We show that certain bifurcation is frequently used to characterize the complexity of nonlinear systems. We are able to create the streamlined approximation technique for solitary wave solution formulation. The underlying mechanisms were not fully known in the past because the bifurcation and solitary waves were typically examined independently. Only a small number of the exact or analytic solutions to nonlinear partial differential equations (PDEs) could be directly derived by integration, although predictions for their solitary waves may have existed. In my paper, I present the analytical solution of the solitary wave solution of the nonlinear Schrodinger equation with higher order dispersion. In addition, the bifurcation analysis makes the producing mechanisms and full outcomes of the existence/coexistence of kinks, anti-kinks, and solitary wave solutions more evident. Using the Phase Amplitude approach, we investigate the Bright Solitary Wave solution of NLSE and observe the nature of solutions by varying parameters. Solitons, or solitary waves, are crucial to theory and applications of the nonlinear Schrödinger (NLS) equation.

Keywords: Non Linear Schrodinger Equation, Solitary Waves.