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<p>The weakly nonlinear dynamics of low-frequency magnetosonic waves propagating perpendicularly to a uniform magnetic field in collisionless electron-ion plasmas is systematically studied through a focusing nonlinear Schrödinger equation (NLSE) governing the envelope dynamics of the magnetosonic mode. Rational rogue wave solutions of the NLSE, including the first-order Peregrine soliton and the second-order super rogue wave, are analyzed. The maximum amplitude, envelope width, group velocity, and phase velocity of these structures are derived in analytical form. Parametric studies show that increasing the background magnetic field and wave number enhances wave localization and amplitude growth, while higher plasma density suppresses these effects and broadens the envelope. These findings shed light on the controllability of extreme wave phenomena in magnetized plasmas, with potential applications in high-intensity laser-plasma interactions and astrophysical environments.</p>

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Nonlinear envelope dynamics and super rogue waves in collisionless magnetized plasmas

  • 期刊论文

  • 发表日期：

    2025年8月18日

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  • Jin-Ze Liu,
  • Zhong-Zheng Li,
  • Sabah Bibi,
  • Wen-Shan Duan

摘要

The weakly nonlinear dynamics of low-frequency magnetosonic waves propagating perpendicularly to a uniform magnetic field in collisionless electron-ion plasmas is systematically studied through a focusing nonlinear Schrödinger equation (NLSE) governing the envelope dynamics of the magnetosonic mode. Rational rogue wave solutions of the NLSE, including the first-order Peregrine soliton and the second-order super rogue wave, are analyzed. The maximum amplitude, envelope width, group velocity, and phase velocity of these structures are derived in analytical form. Parametric studies show that increasing the background magnetic field and wave number enhances wave localization and amplitude growth, while higher plasma density suppresses these effects and broadens the envelope. These findings shed light on the controllability of extreme wave phenomena in magnetized plasmas, with potential applications in high-intensity laser-plasma interactions and astrophysical environments.