Nonparaxial solitons and the dynamics of solitary waves for the coupled nonlinear Helmholtz systems

In this paper, the nonparaxial solitons in a dimensionless coupled nonlinear Schrödinger system with cross-phase modulation, which enables the propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide are studied. By noticing that the system is a non-integrable one, and also diverse forms of solitary wave solutions by using the Hirota’s bilinear scheme are reached. The binary bell polynomials and bilinear transformation and also the related theorem for getting to the bilinear form of nonlinear system are noticed. In particular, five forms of function solution including soliton, bright soliton, singular soliton, periodic wave and singular form of solutions are investigated. To achieve this, an illustrative example of the coupled nonlinear Helmholtz systems is provided to demonstrate the feasibility and reliability of the procedure is used in this study. The effect of the free parameters on the behavior of acquired figures of a few obtained solutions for two nonlinear rational exact cases was also discussed. We believe that our results would pave a way for future research generating optical memories based on the nonparaxial solitons.