Study of the parametric effects on soliton propagation in optical fibers through two analytical methods

Abstract

The dual-core optical fiber has significant applications in optical electronics for long-wave propagation, especially in telecommunication fibers. The aim of this article is to study the parametric effects on solitary wave propagation and characteristic aspects of long-wave traveling through optical fibers by establishing some standard and wide-spectrum solutions via the improved Bernoulli sub-equation function (IBSEF) method and the new auxiliary equation (NAE) approach. The investigated solitary wave solutions are ascertained as an integration of hyperbolic, exponential, rational and trigonometric functions and can be extensively applicable in optics. The physical significance of the solutions attained is illustrated for the definite values of the included parameters through depicting the 3D profiles. The solitons profile represents different types of waves associated with the free parameters which are related to the wave number and velocity of the solutions. It turns out that the obtained solutions through both the methods are potential and might be used in further works to interpret the various fields in telecommunication fiber which can reduce casualties that ensue in essence.

Novel solutions of (2+1) dimensional modified Bogoyavlenskii’s breaking soliton equation with variable coefficients

“…Many effective methods have been proposed for solving nonlinear soliton equations. For example, Tanh-Coth method in [1], bilinear neural network method in [2], Riemann-Bäcklund method in [3] , Jacobi elliptic sine-cosine expansion method in [4], (G′/G)-expansion method in [5] , ansätze approach in [6], unified Riccati equation approach in [7], Riemann-Hilbert approach in [8], Lie symmetry approach in [9], mapping approach in [10], the auxiliary equation and other methods [11][12][13]. By using these methods, nonlinear breakiing soliton equations have been studied extensively, and exact solutions of various forms have been obtained.…”