Abstract
In this paper, the First Integral Method and the Sine-Cosine Method are being used in constructing optical 1-soliton solutions of Triki-Biswas Equation that plays a vital role in the study of soliton dynamics of sub-pico-second optical pulses in mono-mode optical fibers with non-Kerr law nonlinearity and subsequently some soliton and non-soliton solutions are formally obtained. Â
Highlights
Optical solitons are optical pulses which don’t change shape during propagation because of balance between dispersion effects and nonlinear effects in the medium through which they propagate
In the recent a few decades, the study of optical solitons is playing a vital role in many core areas of modern research in communication engineering
The TrikiBiswas Equation (TBE) is being handled by the aid of the first integral method [ 14-21] and the sine-cosine method [22], [23]
Summary
Optical solitons are optical pulses which don’t change shape during propagation because of balance between dispersion effects and nonlinear effects in the medium through which they propagate. They are referred to as localized optical pulses which don’t diffract or disperse while passing through a medium. They can act as information carriers in trans-continental and trans-oceanic data transmission. As an important generalization of the derivative nonlinear Schrodinger equation, HouriaTriki andAnjan Biswas, in the year 2018, proposed an equation latter known after them as TrikiBiswas Equation (TBE) [11,12,13], in order to model ultra-short pulse propagation in optical fiber systems beyond the Kerr limit. The TBE is being handled by the aid of the first integral method [ 14-21] and the sine-cosine method [22], [23]
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