Schrödinger equations are very common equations in physics and mathematics for nonlinear physics to model the dynamics of wave propagation in waveguides such as power lines, atomic chains, optical fibers, and eve...Schrödinger equations are very common equations in physics and mathematics for nonlinear physics to model the dynamics of wave propagation in waveguides such as power lines, atomic chains, optical fibers, and even in quantum mechanics. But all these equations are most often studied without worrying about what would happen if this equation were maintained, that is to say, had a second member synonymous with an external force. It is true that on a physical level, such equations can be considered as describing the generation of waves on a waveguide using an external force. However, the in-depth analysis of this aspect is not at the center of our reflection in this article, but for us, it is a question of proposing exact solutions to this type of equation and above all proposing the general form of the external force so that the obtaining exact solutions is possible.展开更多
This work proposes the construction of a prototype of pulse-kink hybrid solitary waves with a strong Kink dosage of the Sasa-Satsuma equation which describes the dynamics of the wave propagating in an optical fiber wh...This work proposes the construction of a prototype of pulse-kink hybrid solitary waves with a strong Kink dosage of the Sasa-Satsuma equation which describes the dynamics of the wave propagating in an optical fiber where the stimulated Raman scattering effect is bethinking during modeling. The ultimate goal of this work is to propose a plateful of solutions likely to serve as signals during studies on computer or laboratory propagation studies. The resolution of such an equation is not always the easiest thing, and we used the Bogning-Djeumen Tchaho-Kofané method extended to the implicit functions of Bogning to obtain the results. The flexibility of the iB-functions made it possible to deduce the trigonometric solutions, from the obtained solitary wave solutions with a hyperbolic analytical sequence of the studied Sasa-Satsuma equation. A better appreciation of the nature of the solutions obtained is made through the profiles of some solutions obtained during the different analyses.展开更多
The purpose of this work is to study the nonlinear propagation of coupled pulses within birefringent optical fibers.To achieve this,an effective analytical technique using iB-function was applied.With this approach,we...The purpose of this work is to study the nonlinear propagation of coupled pulses within birefringent optical fibers.To achieve this,an effective analytical technique using iB-function was applied.With this approach,we decoupled the nonlinear partial differential equations governing the wave propagation and solved them to obtain prototype solutions likely to propagate in the medium.A Mathlab program was then developed to validate the behavior of the propagated waves and analyze the resulting curves.The results revealed distinct complex phenomena such as stable propagation of coupled dark-bright vector soliton,energy exchange between the components during propagation to severe pulse broadening and conditions leading to group velocity walk-off.These findings provided a deeper insight into light propagation,improving its application for advanced optical communication systems and fiber-based devices.展开更多
文摘Schrödinger equations are very common equations in physics and mathematics for nonlinear physics to model the dynamics of wave propagation in waveguides such as power lines, atomic chains, optical fibers, and even in quantum mechanics. But all these equations are most often studied without worrying about what would happen if this equation were maintained, that is to say, had a second member synonymous with an external force. It is true that on a physical level, such equations can be considered as describing the generation of waves on a waveguide using an external force. However, the in-depth analysis of this aspect is not at the center of our reflection in this article, but for us, it is a question of proposing exact solutions to this type of equation and above all proposing the general form of the external force so that the obtaining exact solutions is possible.
文摘This work proposes the construction of a prototype of pulse-kink hybrid solitary waves with a strong Kink dosage of the Sasa-Satsuma equation which describes the dynamics of the wave propagating in an optical fiber where the stimulated Raman scattering effect is bethinking during modeling. The ultimate goal of this work is to propose a plateful of solutions likely to serve as signals during studies on computer or laboratory propagation studies. The resolution of such an equation is not always the easiest thing, and we used the Bogning-Djeumen Tchaho-Kofané method extended to the implicit functions of Bogning to obtain the results. The flexibility of the iB-functions made it possible to deduce the trigonometric solutions, from the obtained solitary wave solutions with a hyperbolic analytical sequence of the studied Sasa-Satsuma equation. A better appreciation of the nature of the solutions obtained is made through the profiles of some solutions obtained during the different analyses.
文摘The purpose of this work is to study the nonlinear propagation of coupled pulses within birefringent optical fibers.To achieve this,an effective analytical technique using iB-function was applied.With this approach,we decoupled the nonlinear partial differential equations governing the wave propagation and solved them to obtain prototype solutions likely to propagate in the medium.A Mathlab program was then developed to validate the behavior of the propagated waves and analyze the resulting curves.The results revealed distinct complex phenomena such as stable propagation of coupled dark-bright vector soliton,energy exchange between the components during propagation to severe pulse broadening and conditions leading to group velocity walk-off.These findings provided a deeper insight into light propagation,improving its application for advanced optical communication systems and fiber-based devices.
