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<p>This work examines stochastic wave behavior in a perturbed resonant nonlinear Schrödinger equation(PRNLSE) with Kerr-law nonlinearity and the Bohm potential under the influence of multiplicative white noise. The modified extended mapping technique (MEMT) is utilized to generate a broad spectrum of exact mathematical solutions, encompassing soliton structures, singular and periodic wave patterns, as well as rational and elliptic forms. The impact of the noise is illustrated graphically using examples of some of the retrieved solutions with various noise strengths. The proposed analytical framework demonstrates strong capability in handling nonlinear stochastic systems and provides deeper insight into noise-modulated wave behavior. These findings may support the development of advanced optical communication technologies and ultrafast signal processing schemes operating under fluctuating conditions.</p>

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Stochastic soliton propagation in optical media governed by a perturbed resonant nonlinear Schrödinger equation with Kerr law

  • 期刊论文

  • 发表日期：

    2026年7月6日

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  • Mohammed F. Shehab,
  • Hamdy M. Ahmed,
  • M. Elsaid Ramadan,
  • Mohammed H. Ali

摘要

This work examines stochastic wave behavior in a perturbed resonant nonlinear Schrödinger equation(PRNLSE) with Kerr-law nonlinearity and the Bohm potential under the influence of multiplicative white noise. The modified extended mapping technique (MEMT) is utilized to generate a broad spectrum of exact mathematical solutions, encompassing soliton structures, singular and periodic wave patterns, as well as rational and elliptic forms. The impact of the noise is illustrated graphically using examples of some of the retrieved solutions with various noise strengths. The proposed analytical framework demonstrates strong capability in handling nonlinear stochastic systems and provides deeper insight into noise-modulated wave behavior. These findings may support the development of advanced optical communication technologies and ultrafast signal processing schemes operating under fluctuating conditions.