Scholarlink

<p>In this article, we investigated the (2 + 1)-dimensional stochastic cascaded system which is driven by coupled nonlinear Schrödinger equation with Kerr law nonlinearity under the effects of noise. The model is significant due to its relevance in nonlinear optics, particularly in describing ultrashort pulse propagation under random perturbations. Despite various existing methods, the influence of stochasticity in cascaded Kerr-type systems remains under explored. This model has various applications in the field of optical fibers, plasma, the dynamics of optical soliton promulgation, and the evolution of the water wave surface. Current studies rarely explore how noise affects (2+1)-dimensional cascaded systems with Kerr nonlinearity, leaving a gap in understanding their full dynamics. Most models overlook the combined impact of stochastic forces and nonlinear coupling. To bridge this gap, we examine a stochastic system based on a coupled nonlinear Schrödinger equation, aiming to reveal how noise shapes its behavior and stability. This study looks at how random changes affect complex systems with Kerr nonlinearity. What makes it new is studying both noise and nonlinear effects together in a higher-dimensional setting. The different forms of soliton solutions are established by the use of mathematical tools namely as Sardar sub-equation approach. This approach provides us the dark, bright, mixed periodic, and periodic form solutions. We analyze their robustness under stochastic influences. The results not only enrich the solution landscape of such systems but also provide insights into managing noise effects in fiber optics. This work lays a foundation for further study on noise control in nonlinear optical communication systems. The resulting stochastic solitons illustrate how waves disperse in optical fiber transmissions. 3D, 2D, and their corresponding contour graphs are drawn to show the impact of the noise term on the solitons. The computations and outcomes demonstrate the method’s importance, precision, and effectiveness. This method can be used to solve a wide range of stable and unstable nonlinear stochastic differential equations that are encountered in physics, mathematics, and other applicable fields. The results of this investigation will help formulate some new theories and hypotheses in the area of mathematical physics.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Impact of noise on the optical soliton solutions for the stochastic cascaded system with Kerr law nonlinearity

  • 期刊论文

  • 发表日期：

    2026年2月14日

查看全文
  • Sumaira Nawaz,
  • Tahir Shahzad,
  • Hadi Rezazadeh,
  • Mohammad Ali Hosseinzadeh,
  • Muhammad Ozair Ahmed,
  • Muhammad Zafarullah Baber

摘要

In this article, we investigated the (2 + 1)-dimensional stochastic cascaded system which is driven by coupled nonlinear Schrödinger equation with Kerr law nonlinearity under the effects of noise. The model is significant due to its relevance in nonlinear optics, particularly in describing ultrashort pulse propagation under random perturbations. Despite various existing methods, the influence of stochasticity in cascaded Kerr-type systems remains under explored. This model has various applications in the field of optical fibers, plasma, the dynamics of optical soliton promulgation, and the evolution of the water wave surface. Current studies rarely explore how noise affects (2+1)-dimensional cascaded systems with Kerr nonlinearity, leaving a gap in understanding their full dynamics. Most models overlook the combined impact of stochastic forces and nonlinear coupling. To bridge this gap, we examine a stochastic system based on a coupled nonlinear Schrödinger equation, aiming to reveal how noise shapes its behavior and stability. This study looks at how random changes affect complex systems with Kerr nonlinearity. What makes it new is studying both noise and nonlinear effects together in a higher-dimensional setting. The different forms of soliton solutions are established by the use of mathematical tools namely as Sardar sub-equation approach. This approach provides us the dark, bright, mixed periodic, and periodic form solutions. We analyze their robustness under stochastic influences. The results not only enrich the solution landscape of such systems but also provide insights into managing noise effects in fiber optics. This work lays a foundation for further study on noise control in nonlinear optical communication systems. The resulting stochastic solitons illustrate how waves disperse in optical fiber transmissions. 3D, 2D, and their corresponding contour graphs are drawn to show the impact of the noise term on the solitons. The computations and outcomes demonstrate the method’s importance, precision, and effectiveness. This method can be used to solve a wide range of stable and unstable nonlinear stochastic differential equations that are encountered in physics, mathematics, and other applicable fields. The results of this investigation will help formulate some new theories and hypotheses in the area of mathematical physics.