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<p>Periodic extreme waves, characterized by their recurrent and exceptionally high amplitudes, have gained significant attention in various scientific disciplines. In this study, we consider a nonreciprocal DNLS equation with position-dependent nonlinear interaction strength. We show that time-periodic extreme waves can occur in a non-Hermitian lattice. We also demonstrate that long-living discrete extreme waves is possible when considering proper position-dependent nonlinear interaction strength in a non-Hermitian system.</p>

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Time Periodic Extreme Waves in a Non-Hermitian Lattice

  • 期刊论文

  • 发表日期：

    2025年5月7日

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  • Semiha Tombuloğlu

摘要

Periodic extreme waves, characterized by their recurrent and exceptionally high amplitudes, have gained significant attention in various scientific disciplines. In this study, we consider a nonreciprocal DNLS equation with position-dependent nonlinear interaction strength. We show that time-periodic extreme waves can occur in a non-Hermitian lattice. We also demonstrate that long-living discrete extreme waves is possible when considering proper position-dependent nonlinear interaction strength in a non-Hermitian system.