Dual-wave of resonant nonlinear Schrödinger's dynamical equation with different nonlinearities

Abstract

In this work, a new dual-mode nonlinear Schrödinger's equation with Bohm potential is studied with three different forms of nonlinearities. This model has many applications in nonlinear physics and fiber optics. The new model introduces three different physical parameters such as nonlinearity, phase velocity and dispersive factor. This model interprets the simultaneous propagation of two-mode waves instead of a single wave. The singular dual-mode wave solutions are retrieved by versatile exp(-ϕ)-expansion method. The necessary conditions on dissipative nonlinearity parameters that guarantee the existence of soliton solutions are determined. The impact of phase velocity on propagation dynamics of these dual waves is comprehensively studied with the aid of 3D graphs.