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 wave number and velocity. It turns out that the solutions obtained through both the methods are potential and can be used to interpret signals in telecommunication fibers and other works which can reduce casualties that ensue in essence.
Highlights
Researchers are constantly exploring the various phenomena that occur in nature in the language of mathematics called mathematical models by successfully presenting a wellthought-out research plan
Very detailed results are found in these two methods namely, improved Bernoulli sub-equation function method (IBSEFM) [22, 23] and the new auxiliary equation method (NAEM) [24] which can be further enriched by explaining our research
Breeding in a directional coupler is modeled by the system of equation of coupled nonlinear Schrödinger equation (NLSE) [27] and the dual core optical fibers equation [28,29,30,31,32] is one of them
Summary
Researchers are constantly exploring the various phenomena that occur in nature in the language of mathematics called mathematical models by successfully presenting a wellthought-out research plan. Breeding in a directional coupler is modeled by the system of equation of coupled nonlinear Schrödinger equation (NLSE) [27] and the dual core optical fibers equation [28,29,30,31,32] is one of them. Few researchers has been studied the dual core optical fibers equation via different schemes namely, Younis et al [28] through the (G′⁄G)-expansion method, Abdelrahman and Moaaz [29] used Riccati-Bernoulli sub-ODE method, Nair et al [30] via modulational instability (MI) analysis, Baskonus et al [31] via the extended sinh-. The objective of this study is to establish wide-ranging and adequate definitive soliton solutions to the dual core optical fibers equation through setting in use the suggested methods. We analyze the various types of soliton like solutions for the different value free parameters of the obtained solutions illustrated in 3D plot via Matlab and marked out the significant role of the value of wave number and velocity of the solutions to changing the nature of the soliton in wave profile
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