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<p>The stochastic resonant nonlinear Schrödinger equation (SRNLSE) gives a sophisticated mathematical model of nonlinear wave systems under stochastic fluctuations. This study investigates the SRNLSE with Kudryashov’s law, which includes spatio-temporal dispersion and inter-modal dispersion. To analyze and solve the equation, we use the addendum Kudryashov’s procedure and Jacobi-elliptic expansion approach. To verify results, graphical representations are shown. These findings shed light on how nonlinearity and stochasticity interact in complex wave systems. This research provides insight into soliton dynamics, wave turbulence, and pattern creation with noise and stochastic changes. Nonlinear optics, quantum physics, and condensed matter physics all interested in stochastic effects on wave processes, hence the discovery has ramifications.</p>

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Analyzing multiplicative noise effects on stochastic resonant nonlinear Schrödinger equation via two integration algorithms

  • 期刊论文

  • 发表日期：

    2025年2月9日

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  • Khaled A. Gepreel,
  • Reham M. A. Shohib,
  • Mohamed E. M. Alngar

摘要

The stochastic resonant nonlinear Schrödinger equation (SRNLSE) gives a sophisticated mathematical model of nonlinear wave systems under stochastic fluctuations. This study investigates the SRNLSE with Kudryashov’s law, which includes spatio-temporal dispersion and inter-modal dispersion. To analyze and solve the equation, we use the addendum Kudryashov’s procedure and Jacobi-elliptic expansion approach. To verify results, graphical representations are shown. These findings shed light on how nonlinearity and stochasticity interact in complex wave systems. This research provides insight into soliton dynamics, wave turbulence, and pattern creation with noise and stochastic changes. Nonlinear optics, quantum physics, and condensed matter physics all interested in stochastic effects on wave processes, hence the discovery has ramifications.